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Author ID: umehara.masaaki Recent zbMATH articles by "Umehara, Masaaki"
Published as: Umehara, Masaaki; Umehara, M.
Homepage: http://www.is.titech.ac.jp/~umehara/
all top 5

Serials

6 Osaka Journal of Mathematics
6 Proceedings of the American Mathematical Society
6 Tôhoku Mathematical Journal. Second Series
4 Journal of the Mathematical Society of Japan
4 Pacific Journal of Mathematics
4 Differential Geometry and its Applications
3 Geometriae Dedicata
3 Hiroshima Mathematical Journal
3 Kodai Mathematical Journal
3 Nagoya Mathematical Journal
3 Proceedings of the Japan Academy. Series A
3 Tsukuba Journal of Mathematics
3 Journal of Knot Theory and its Ramifications
3 Oberwolfach Reports
3 Electronic Geometry Model
2 Beiträge zur Algebra und Geometrie
2 Bulletin of the London Mathematical Society
2 Hokkaido Mathematical Journal
2 Mathematical Journal of Okayama University
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 The Journal of Geometric Analysis
2 Communications in Analysis and Geometry
2 Calculus of Variations and Partial Differential Equations
2 Annals of Mathematics. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Journal of Singularities
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Journal of Geometry and Physics
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Differential Geometry
1 Journal of Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Japanese Journal of Mathematics. New Series
1 Kyungpook Mathematical Journal
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Science Reports
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Sūgaku
1 Revista Matemática Iberoamericana
1 Sugaku Expositions
1 International Journal of Mathematics
1 Kyushu Journal of Mathematics
1 Selecta Mathematica. New Series
1 RIMS Kokyuroku
1 The Quarterly Journal of Mathematics
1 Seminar on Mathematical Sciences
1 Kyoto Journal of Mathematics
1 Proceedings of the American Mathematical Society. Series B
1 Series in Algebraic and Differential Geometry

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 1,189 times in 423 Documents Cited by Year
Singularities of flat fronts in hyperbolic space. Zbl 1110.53044
Kokubu, Masatoshi; Rossman, Wayne; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
106
2005
The geometry of fronts. Zbl 1177.53014
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
86
2009
Singularities of maximal surfaces. Zbl 1145.57026
Fujimori, Shoichi; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
60
2008
Maximal surfaces with singularities in Minkowski space. Zbl 1109.53016
Umehara, Masaaki; Yamada, Kotaro
59
2006
Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space. Zbl 0795.53006
Umehara, Masaaki; Yamada, Kotaro
55
1993
Flat fronts in hyperbolic 3-space. Zbl 1078.53009
Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro
39
2004
Flat surfaces with singularities in Euclidean 3-space. Zbl 1184.53015
Murata, Satoko; Umehara, Masaaki
35
2009
Flat fronts in hyperbolic 3-space and their caustics. Zbl 1120.53036
Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
33
2007
Behavior of Gaussian curvature and mean curvature near non-degenerate singular points on wave fronts. Zbl 1347.53044
Martins, L. F.; Saji, K.; Umehara, M.; Yamada, K.
32
2016
\(A_k\) singlarities of wave fronts. Zbl 1173.53039
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
29
2009
Metrics of constant curvature 1 with three conical singularities on the 2-sphere. Zbl 0958.30029
Umehara, Masaaki; Yamada, Kotaro
26
2000
A parametrization of the Weierstrass formulae and perturbation of complete minimal surfaces in \(\mathbb{R}{}^ 3\) into the hyperbolic 3-space. Zbl 0757.53033
Umehara, Masaaki; Yamada, Kotaro
25
1992
Intrinsic properties of surfaces with singularities. Zbl 1321.57039
Hasegawa, Masaru; Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
25
2015
Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus. Zbl 0913.53025
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
19
1997
Einstein Kaehler submanifolds of a complex linear or hyperbolic space. Zbl 0648.53031
Umehara, Masaaki
18
1987
Intrinsic invariants of cross caps. Zbl 1298.57024
Hasegawa, Masaru; Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro
18
2014
Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics. Zbl 1320.53017
Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D.
18
2015
Surfaces of constant mean curvature \(c\) in \(H^ 3(-c^ 2)\) with prescribed hyperbolic Gauss map. Zbl 0841.53050
Umehara, Masaaki; Yamada, Kotaro
17
1996
Isometric deformations of cuspidal edges. Zbl 1350.57031
Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro
16
2016
Kaehler submanifolds of complex space forms. Zbl 0679.53016
Umehara, M.
15
1987
A duality on CMC-1 surfaces in hyperbolic space, and a hyperbolic analogue of the Osserman inequality. Zbl 1027.53010
Umehara, Masaaki; Yamada, Kotaro
15
1997
Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts. Zbl 1276.57032
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
15
2012
Zero mean curvature surfaces in \(\mathrm{L}^3\) containing a light-like line. Zbl 1257.53090
Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Takahashi, H.; Umehara, M.; Yamada, K.; Yang, S.-D.
15
2012
Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line. Zbl 1319.53008
Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D.
14
2015
An elementary proof of Small’s formula for null curves in \(\text{PSL}(2,\mathbb{C})\) and a analogue for Legendrian curves in \(\text{PSL}(2,\mathbb{C})\). Zbl 1042.53042
Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro
14
2003
The duality between singular points and inflection points on wave fronts. Zbl 1209.57020
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
14
2010
Sextactic points on a simple closed curve. Zbl 1088.53049
Thorbergsson, Gudlaugur; Umehara, Masaaki
13
2002
The behavior of curvature functions at cusps and inflection points. Zbl 1250.53005
Shiba, Shohei; Umehara, Masaaki
12
2012
Diastases and real analytic functions on complex manifolds. Zbl 0651.53046
Umehara, Masaaki
11
1988
Entire zero-mean curvature graphs of mixed type in Lorentz-Minkowski 3-space. Zbl 1364.53012
Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
11
2016
Behavior of corank-one singular points on wave fronts. Zbl 1155.57027
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
11
2008
Hypersurfaces with light-like points in a Lorentzian manifold. Zbl 1430.53009
Umehara, M.; Yamada, K.
11
2019
Flat Möbius strips of given isotopy type in \(\mathbb R^{3}\) whose centerlines are geodesics or lines of curvature. Zbl 1156.53007
Kurono, Yasuhiro; Umehara, Masaaki
10
2008
Asymptotic behavior of flat surfaces in hyperbolic 3-space. Zbl 1177.53059
Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
10
2009
Extrinsic diameter of immersed flat tori in \(S^3\). Zbl 1262.53049
Kitagawa, Yoshihisa; Umehara, Masaaki
10
2011
Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces. Zbl 1235.53063
Kokubu, Masatoshi; Umehara, Masaaki
9
2011
\(A_{2}\)-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space. Zbl 1272.57022
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
9
2011
CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere. Zbl 1242.53070
Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
9
2011
New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space. Zbl 1186.53071
Fujimori, Shoichi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro; Yang, Seong-Deog
9
2009
A characterization of compact surfaces with constant mean curvature. Zbl 0689.53033
Umehara, Masaaki
9
1990
A unified approach to the four vertex theorems. I. Zbl 1068.53005
Umehara, Masaaki
9
1999
Complete bounded holomorphic curves immersed in \(\mathbb {C}^2\) with arbitrary genus. Zbl 1177.53056
Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro
9
2009
Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space. Zbl 1301.53056
Fijimori, Shoichi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro; Yang, Seong-Deog
9
2014
Surfaces with light-like points in Lorentz-Minkowski 3-space with applications. Zbl 1402.53007
Umehara, Masaaki; Yamada, Kotaro
9
2017
The duality of conformally flat manifolds. Zbl 1213.53049
Liu, Huili; Umehara, Masaaki; Yamada, Kotaro
8
2011
A unified approach to the four vertex theorems. II. Zbl 1068.53004
Thorbergsson, Gudlaugur; Umehara, Masaaki
8
1999
A duality for conformally flat hypersurfaces. Zbl 1332.53078
Hertrich-Jeromin, Udo; Suyama, Y.; Umehara, M.; Yamada, Kotaro
8
2015
An index formula for a bundle homomorphism of the tangent bundle into a vector bundle of the same rank, and its applications. Zbl 1372.57039
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
8
2017
Mixed type surfaces with bounded mean curvature in 3-dimensional space-times. Zbl 1369.53014
Honda, Atsufumi; Koiso, Miyuki; Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro
8
2017
Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. I. Zbl 1088.53004
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
7
2004
Complete bounded null curves immersed in \(\mathbb C^3\) and \(\mathrm{SL}(2,\mathbb C)\). Zbl 1172.53007
Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro
6
2009
6-vertex theorem for closed planar curve which bounds an immersed surface with non-zero genus. Zbl 0806.53002
Umehara, Masaaki
6
1994
Differential geometry of curves and surfaces. Translated from the Japanese by Wayne Rossman. Zbl 1381.53002
Umehara, Masaaki; Yamada, Kotaro
6
2017
Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality. Zbl 1433.53017
Akamine, S.; Umehara, M.; Yamada, K.
6
2020
Spacelike mean curvature one surfaces in de Sitter 3-space. Zbl 1205.53064
Fujimori, S.; Rossman, W.; Umehara, M.; Yamada, K.; Yang, S.-D.
5
2009
A global theory of flexes of periodic functions. Zbl 1066.51007
Thorbergsson, Gudlaugur; Umehara, Masaaki
5
2004
A deformation of tori with constant mean curvature in \({\mathbb{R}{}}^ 3\) to those in other space forms. Zbl 0753.53040
Umehara, Masaaki; Yamada, Kotaro
5
1992
Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space. Zbl 1375.53016
Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
5
2017
Inflection points and double tangents on anti-convex curves in the real projective plane. Zbl 1152.53009
Thorbergsson, Gudlaugur; Umehara, Masaaki
5
2008
Isometric realization of cross caps as formal power series and its applications. Zbl 1445.57022
Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro
5
2019
Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space. Zbl 1441.53005
Akamine, Shintaro; Umehara, Masaaki; Yamada, Kotaro
5
2019
Applications of a completeness Lemma in minimal surface theory to various classes of surfaces. Zbl 1211.53081
Umehara, Masaaki; Yamada, Kotaro
4
2011
An inverse problem of the flux for minimal surfaces. Zbl 0904.53012
Kato, Shin; Umehara, Masaaki; Yamada, Kotaro
4
1997
Minimal surfaces that attain equality in the Chern-Osserman inequality. Zbl 1029.53013
Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro
4
2002
Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. II. Zbl 1058.53008
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
4
2003
Duality on generalized cuspidal edges preserving singular set images and first fundamental forms. Zbl 1468.57028
Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
4
2020
A construction of a complete bounded null curve in \(\mathbb C^3\). Zbl 1336.53013
Ferrer, Leonor; Martín, Francisco; Umehara, Masaaki; Yamada, Kotaro
4
2014
Flat surfaces in hyperbolic 3-space whose hyperbolic Gauss maps are bounded. Zbl 1296.53154
Martín, Francisco; Umehara, Masaaki; Yamada, Kotaro
4
2014
Isometric deformations of wave fronts at non-degenerate singular points. Zbl 1481.57044
Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro
4
2020
Flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications. Zbl 0921.53030
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
3
1999
An analogue of minimal surface theory in \(\operatorname{SL}(n,\mathbb{C})/\operatorname{SU}(n)\). Zbl 1005.53053
Kokubu, M.; Takahashi, Masaro; Umehara, M.; Yamada, K.
3
2002
Period problems for mean curvature one surfaces in \(H^3\) (with applications to surfaces of low total curvature). Zbl 1171.53041
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
3
2008
Deformations of symmetric spaces of compact type to their noncompact duals. Zbl 0771.53031
Tasaki, Hiroyuki; Umehara, Masaaki; Yamada, Kotaro
3
1991
Geometry of scrolls. Zbl 0869.57013
Kobayashi, Osamu; Umehara, Masaaki
3
1996
Corrigendum: Applications of a completeness lemma in minimal surface theory to various classes of surfaces. Zbl 1241.53053
Umehara, Masaaki; Yamada, Kotaro
3
2012
A simplification of the proof of Bol’s conjecture on sextactic points. Zbl 1232.53020
Umehara, Masaaki
3
2011
Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space. Zbl 1461.53005
Akamine, S.; Honda, A.; Umehara, M.; Yamada, K.
3
2021
Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space. Zbl 1435.53046
Fujimori, S.; Kawakami, Y.; Kokubu, M.; Rossman, W.; Umehara, M.; Yamada, K.
3
2020
On complete hypersurfaces with harmonic curvature in a Riemannian manifold of constant curvature. Zbl 0631.53044
Ki, U-Hang; Nakagawa, Hisao; Umehara, Masaaki
2
1987
A global correspondence between CMC-surfaces in \(S^3\) and pairs of non-conformal harmonic maps into \(S^2\). Zbl 0969.53032
Aiyama, R.; Akutagawa, K.; Miyaoka, R.; Umehara, M.
2
2000
General existence of minimial surfaces of genus zero with catenoidal ends and prescribed flux. Zbl 0967.53043
Kato, Shin; Umehara, Masaaki; Yamada, Kotaro
2
2000
Another construction of a CMC-1 surface in \(H^3\). Zbl 1004.53043
Umehara, Masaaki; Yamada, Kotaro
2
1996
Hypersurfaces with harmonic curvature. Zbl 0602.53017
Umehara, Masaaki
2
1986
An invariant on 3-dimensional Lie algebras. Zbl 0758.17003
Tasaki, Hiroyuki; Umehara, Masaaki
2
1992
Erratum to: “Zero mean curvature surfaces in Lorentz-Minkowki 3-space which change type across a light-like line”. Zbl 1465.53027
Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D.
2
2016
\(C^1\)-umbilics with arbitrarily high indices. Zbl 1370.53005
Ando, Naoya; Fujiyama, Toshifumi; Umehara, Masaaki
2
2017
Cuspidal edges with the same first fundamental forms along a knot. Zbl 1455.57032
Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
2
2020
Erratum to: “Complete bounded null curves immersed in \(\mathbb{C}^3\) and \(\mathrm{SL}(2,\mathbb{C})\)”. Zbl 1258.53012
Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro
2
2013
Quadrics and Scherk towers. Zbl 1396.53083
Fujimori, S.; Hertrich-Jeromin, U.; Kokubu, M.; Umehara, M.; Yamada, K.
2
2018
Geometry of surfaces of constant mean curvature 1 in the hyperbolic 3-space. Zbl 0899.53047
Umehara, Masaaki; Yamada, Kotaro
1
1995
Addendum to: “Singularities of flat fronts in hyperbolic space”. Zbl 1384.53053
Kokubu, Masatoshi; Rossman, Wayne; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
1
2018
Monodromy of isometric deformations of CMC surfaces. Zbl 1026.53037
Bobenko, A. I.; Umehara, M.
1
2001
Deformations of Lie groups and their application to surface theory. Zbl 1005.53007
Umehara, Masaaki; Yamada, Kotaro
1
1993
An analogue of the UP-iteration for constant mean curvature one surfaces in hyperbolic 3-space. Zbl 1088.53003
McCune, Catherine; Umehara, Masaaki
1
2004
Constructing mean curvature \(0\) surfaces in \(H^3\) with irregular ends. Zbl 1100.53051
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
1
2005
A computation of the basic invariant \(J^ +\) for closed 2-vertex curves. Zbl 0878.57026
Umehara, Masaaki
1
1997
General existence of minimal surfaces with prescribed flux. II. Zbl 1090.53500
Kato, S.; Umehara, M.; Yamada, K.
1
1997
Caustics of convex curves. Zbl 1321.53006
Gounai, Hiro; Umehara, Masaaki
1
2014
Singularities of Blaschke normal maps of convex surfaces. Zbl 1235.57018
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
1
2010
Curved foldings with common creases and crease patterns. Zbl 1461.53003
Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
1
2020
A generalization of Zakalyukin’s lemma, and symmetries of surface singularities. Zbl 07742122
Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
1
2022
Differential geometry of curves and surfaces with singularities. Translated from the Japanese by Wayne Rossman. Zbl 1497.53002
Umehara, Masaaki; Saji, Kentaro; Yamada, Kotaro
1
2022
Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space. Zbl 1461.53005
Akamine, S.; Honda, A.; Umehara, M.; Yamada, K.
3
2021
Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality. Zbl 1433.53017
Akamine, S.; Umehara, M.; Yamada, K.
6
2020
Duality on generalized cuspidal edges preserving singular set images and first fundamental forms. Zbl 1468.57028
Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
4
2020
Isometric deformations of wave fronts at non-degenerate singular points. Zbl 1481.57044
Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro
4
2020
Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space. Zbl 1435.53046
Fujimori, S.; Kawakami, Y.; Kokubu, M.; Rossman, W.; Umehara, M.; Yamada, K.
3
2020
Cuspidal edges with the same first fundamental forms along a knot. Zbl 1455.57032
Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
2
2020
Curved foldings with common creases and crease patterns. Zbl 1461.53003
Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
1
2020
Hypersurfaces with light-like points in a Lorentzian manifold. Zbl 1430.53009
Umehara, M.; Yamada, K.
11
2019
Isometric realization of cross caps as formal power series and its applications. Zbl 1445.57022
Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro
5
2019
Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space. Zbl 1441.53005
Akamine, Shintaro; Umehara, Masaaki; Yamada, Kotaro
5
2019
Quadrics and Scherk towers. Zbl 1396.53083
Fujimori, S.; Hertrich-Jeromin, U.; Kokubu, M.; Umehara, M.; Yamada, K.
2
2018
Addendum to: “Singularities of flat fronts in hyperbolic space”. Zbl 1384.53053
Kokubu, Masatoshi; Rossman, Wayne; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
1
2018
Surfaces with light-like points in Lorentz-Minkowski 3-space with applications. Zbl 1402.53007
Umehara, Masaaki; Yamada, Kotaro
9
2017
An index formula for a bundle homomorphism of the tangent bundle into a vector bundle of the same rank, and its applications. Zbl 1372.57039
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
8
2017
Mixed type surfaces with bounded mean curvature in 3-dimensional space-times. Zbl 1369.53014
Honda, Atsufumi; Koiso, Miyuki; Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro
8
2017
Differential geometry of curves and surfaces. Translated from the Japanese by Wayne Rossman. Zbl 1381.53002
Umehara, Masaaki; Yamada, Kotaro
6
2017
Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space. Zbl 1375.53016
Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
5
2017
\(C^1\)-umbilics with arbitrarily high indices. Zbl 1370.53005
Ando, Naoya; Fujiyama, Toshifumi; Umehara, Masaaki
2
2017
Behavior of Gaussian curvature and mean curvature near non-degenerate singular points on wave fronts. Zbl 1347.53044
Martins, L. F.; Saji, K.; Umehara, M.; Yamada, K.
32
2016
Isometric deformations of cuspidal edges. Zbl 1350.57031
Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro
16
2016
Entire zero-mean curvature graphs of mixed type in Lorentz-Minkowski 3-space. Zbl 1364.53012
Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
11
2016
Erratum to: “Zero mean curvature surfaces in Lorentz-Minkowki 3-space which change type across a light-like line”. Zbl 1465.53027
Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D.
2
2016
Intrinsic properties of surfaces with singularities. Zbl 1321.57039
Hasegawa, Masaru; Honda, Atsufumi; Naokawa, Kosuke; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
25
2015
Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics. Zbl 1320.53017
Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D.
18
2015
Zero mean curvature surfaces in Lorentz-Minkowski 3-space which change type across a light-like line. Zbl 1319.53008
Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D.
14
2015
A duality for conformally flat hypersurfaces. Zbl 1332.53078
Hertrich-Jeromin, Udo; Suyama, Y.; Umehara, M.; Yamada, Kotaro
8
2015
Intrinsic invariants of cross caps. Zbl 1298.57024
Hasegawa, Masaru; Honda, Atsufumi; Naokawa, Kosuke; Umehara, Masaaki; Yamada, Kotaro
18
2014
Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space. Zbl 1301.53056
Fijimori, Shoichi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro; Yang, Seong-Deog
9
2014
A construction of a complete bounded null curve in \(\mathbb C^3\). Zbl 1336.53013
Ferrer, Leonor; Martín, Francisco; Umehara, Masaaki; Yamada, Kotaro
4
2014
Flat surfaces in hyperbolic 3-space whose hyperbolic Gauss maps are bounded. Zbl 1296.53154
Martín, Francisco; Umehara, Masaaki; Yamada, Kotaro
4
2014
Caustics of convex curves. Zbl 1321.53006
Gounai, Hiro; Umehara, Masaaki
1
2014
Erratum to: “Complete bounded null curves immersed in \(\mathbb{C}^3\) and \(\mathrm{SL}(2,\mathbb{C})\)”. Zbl 1258.53012
Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro
2
2013
Hyperbolic metrics on Riemann surfaces and space-like CMC-1 surfaces in de Sitter 3-space. Zbl 1285.53045
Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
1
2013
Closed planar curves without inflections. Zbl 1271.53002
Ohno, Shuntaro; Ozawa, Tetsuya; Umehara, Masaaki
1
2013
Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts. Zbl 1276.57032
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
15
2012
Zero mean curvature surfaces in \(\mathrm{L}^3\) containing a light-like line. Zbl 1257.53090
Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Takahashi, H.; Umehara, M.; Yamada, K.; Yang, S.-D.
15
2012
The behavior of curvature functions at cusps and inflection points. Zbl 1250.53005
Shiba, Shohei; Umehara, Masaaki
12
2012
Corrigendum: Applications of a completeness lemma in minimal surface theory to various classes of surfaces. Zbl 1241.53053
Umehara, Masaaki; Yamada, Kotaro
3
2012
Extrinsic diameter of immersed flat tori in \(S^3\). Zbl 1262.53049
Kitagawa, Yoshihisa; Umehara, Masaaki
10
2011
Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces. Zbl 1235.53063
Kokubu, Masatoshi; Umehara, Masaaki
9
2011
\(A_{2}\)-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space. Zbl 1272.57022
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
9
2011
CMC-1 trinoids in hyperbolic 3-space and metrics of constant curvature one with conical singularities on the 2-sphere. Zbl 1242.53070
Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
9
2011
The duality of conformally flat manifolds. Zbl 1213.53049
Liu, Huili; Umehara, Masaaki; Yamada, Kotaro
8
2011
Applications of a completeness Lemma in minimal surface theory to various classes of surfaces. Zbl 1211.53081
Umehara, Masaaki; Yamada, Kotaro
4
2011
A simplification of the proof of Bol’s conjecture on sextactic points. Zbl 1232.53020
Umehara, Masaaki
3
2011
The duality between singular points and inflection points on wave fronts. Zbl 1209.57020
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
14
2010
Singularities of Blaschke normal maps of convex surfaces. Zbl 1235.57018
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
1
2010
The geometry of fronts. Zbl 1177.53014
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
86
2009
Flat surfaces with singularities in Euclidean 3-space. Zbl 1184.53015
Murata, Satoko; Umehara, Masaaki
35
2009
\(A_k\) singlarities of wave fronts. Zbl 1173.53039
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
29
2009
Asymptotic behavior of flat surfaces in hyperbolic 3-space. Zbl 1177.53059
Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
10
2009
New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space. Zbl 1186.53071
Fujimori, Shoichi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro; Yang, Seong-Deog
9
2009
Complete bounded holomorphic curves immersed in \(\mathbb {C}^2\) with arbitrary genus. Zbl 1177.53056
Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro
9
2009
Complete bounded null curves immersed in \(\mathbb C^3\) and \(\mathrm{SL}(2,\mathbb C)\). Zbl 1172.53007
Martin, Francisco; Umehara, Masaaki; Yamada, Kotaro
6
2009
Spacelike mean curvature one surfaces in de Sitter 3-space. Zbl 1205.53064
Fujimori, S.; Rossman, W.; Umehara, M.; Yamada, K.; Yang, S.-D.
5
2009
Singularities of maximal surfaces. Zbl 1145.57026
Fujimori, Shoichi; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
60
2008
Behavior of corank-one singular points on wave fronts. Zbl 1155.57027
Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
11
2008
Flat Möbius strips of given isotopy type in \(\mathbb R^{3}\) whose centerlines are geodesics or lines of curvature. Zbl 1156.53007
Kurono, Yasuhiro; Umehara, Masaaki
10
2008
Inflection points and double tangents on anti-convex curves in the real projective plane. Zbl 1152.53009
Thorbergsson, Gudlaugur; Umehara, Masaaki
5
2008
Period problems for mean curvature one surfaces in \(H^3\) (with applications to surfaces of low total curvature). Zbl 1171.53041
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
3
2008
Flat fronts in hyperbolic 3-space and their caustics. Zbl 1120.53036
Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
33
2007
Maximal surfaces with singularities in Minkowski space. Zbl 1109.53016
Umehara, Masaaki; Yamada, Kotaro
59
2006
Singularities of flat fronts in hyperbolic space. Zbl 1110.53044
Kokubu, Masatoshi; Rossman, Wayne; Saji, Kentaro; Umehara, Masaaki; Yamada, Kotaro
106
2005
Constructing mean curvature \(0\) surfaces in \(H^3\) with irregular ends. Zbl 1100.53051
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
1
2005
Flat fronts in hyperbolic 3-space. Zbl 1078.53009
Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro
39
2004
Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. I. Zbl 1088.53004
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
7
2004
A global theory of flexes of periodic functions. Zbl 1066.51007
Thorbergsson, Gudlaugur; Umehara, Masaaki
5
2004
An analogue of the UP-iteration for constant mean curvature one surfaces in hyperbolic 3-space. Zbl 1088.53003
McCune, Catherine; Umehara, Masaaki
1
2004
An elementary proof of Small’s formula for null curves in \(\text{PSL}(2,\mathbb{C})\) and a analogue for Legendrian curves in \(\text{PSL}(2,\mathbb{C})\). Zbl 1042.53042
Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro
14
2003
Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. II. Zbl 1058.53008
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
4
2003
Sextactic points on a simple closed curve. Zbl 1088.53049
Thorbergsson, Gudlaugur; Umehara, Masaaki
13
2002
Minimal surfaces that attain equality in the Chern-Osserman inequality. Zbl 1029.53013
Kokubu, Masatoshi; Umehara, Masaaki; Yamada, Kotaro
4
2002
An analogue of minimal surface theory in \(\operatorname{SL}(n,\mathbb{C})/\operatorname{SU}(n)\). Zbl 1005.53053
Kokubu, M.; Takahashi, Masaro; Umehara, M.; Yamada, K.
3
2002
Monodromy of isometric deformations of CMC surfaces. Zbl 1026.53037
Bobenko, A. I.; Umehara, M.
1
2001
Metrics of constant curvature 1 with three conical singularities on the 2-sphere. Zbl 0958.30029
Umehara, Masaaki; Yamada, Kotaro
26
2000
A global correspondence between CMC-surfaces in \(S^3\) and pairs of non-conformal harmonic maps into \(S^2\). Zbl 0969.53032
Aiyama, R.; Akutagawa, K.; Miyaoka, R.; Umehara, M.
2
2000
General existence of minimial surfaces of genus zero with catenoidal ends and prescribed flux. Zbl 0967.53043
Kato, Shin; Umehara, Masaaki; Yamada, Kotaro
2
2000
A unified approach to the four vertex theorems. I. Zbl 1068.53005
Umehara, Masaaki
9
1999
A unified approach to the four vertex theorems. II. Zbl 1068.53004
Thorbergsson, Gudlaugur; Umehara, Masaaki
8
1999
Flux for mean curvature 1 surfaces in hyperbolic 3-space, and applications. Zbl 0921.53030
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
3
1999
Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus. Zbl 0913.53025
Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro
19
1997
A duality on CMC-1 surfaces in hyperbolic space, and a hyperbolic analogue of the Osserman inequality. Zbl 1027.53010
Umehara, Masaaki; Yamada, Kotaro
15
1997
An inverse problem of the flux for minimal surfaces. Zbl 0904.53012
Kato, Shin; Umehara, Masaaki; Yamada, Kotaro
4
1997
A computation of the basic invariant \(J^ +\) for closed 2-vertex curves. Zbl 0878.57026
Umehara, Masaaki
1
1997
General existence of minimal surfaces with prescribed flux. II. Zbl 1090.53500
Kato, S.; Umehara, M.; Yamada, K.
1
1997
Surfaces of constant mean curvature \(c\) in \(H^ 3(-c^ 2)\) with prescribed hyperbolic Gauss map. Zbl 0841.53050
Umehara, Masaaki; Yamada, Kotaro
17
1996
Geometry of scrolls. Zbl 0869.57013
Kobayashi, Osamu; Umehara, Masaaki
3
1996
Another construction of a CMC-1 surface in \(H^3\). Zbl 1004.53043
Umehara, Masaaki; Yamada, Kotaro
2
1996
Geometry of surfaces of constant mean curvature 1 in the hyperbolic 3-space. Zbl 0899.53047
Umehara, Masaaki; Yamada, Kotaro
1
1995
6-vertex theorem for closed planar curve which bounds an immersed surface with non-zero genus. Zbl 0806.53002
Umehara, Masaaki
6
1994
Complete surfaces of constant mean curvature-1 in the hyperbolic 3-space. Zbl 0795.53006
Umehara, Masaaki; Yamada, Kotaro
55
1993
Deformations of Lie groups and their application to surface theory. Zbl 1005.53007
Umehara, Masaaki; Yamada, Kotaro
1
1993
A parametrization of the Weierstrass formulae and perturbation of complete minimal surfaces in \(\mathbb{R}{}^ 3\) into the hyperbolic 3-space. Zbl 0757.53033
Umehara, Masaaki; Yamada, Kotaro
25
1992
A deformation of tori with constant mean curvature in \({\mathbb{R}{}}^ 3\) to those in other space forms. Zbl 0753.53040
Umehara, Masaaki; Yamada, Kotaro
5
1992
An invariant on 3-dimensional Lie algebras. Zbl 0758.17003
Tasaki, Hiroyuki; Umehara, Masaaki
2
1992
Deformations of symmetric spaces of compact type to their noncompact duals. Zbl 0771.53031
Tasaki, Hiroyuki; Umehara, Masaaki; Yamada, Kotaro
3
1991
A characterization of compact surfaces with constant mean curvature. Zbl 0689.53033
Umehara, Masaaki
9
1990
Diastases and real analytic functions on complex manifolds. Zbl 0651.53046
Umehara, Masaaki
11
1988
...and 4 more Documents
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Cited by 365 Authors

54 Umehara, Masaaki
39 Yamada, Kotaro
36 Saji, Kentaro
20 Rossman, Wayne
19 Honda, Atsufumi
15 Teramoto, Keisuke
13 Alarcón, Antonio
13 Izumiya, Shyuichi
13 Takahashi, Masatomo
12 Kokubu, Masatoshi
11 Fujimori, Shoichi
11 Naokawa, Kosuke
11 Yang, Seong-Deog
10 Gálvez, Jose Antonio
10 Mira, Pablo
9 Akamine, Shintaro
9 Loi, Andrea
9 Lopez Fernandez, Francisco Jose
9 Oset Sinha, Raúl
8 Hertrich-Jeromin, Udo J.
8 Kawakami, Yu
7 Fernández, Isabel
7 Kim, Young Wook
6 Brander, David
5 Eremenko, Alexandre Émmanuilovich
5 Forstnerič, Franc
5 Fukunaga, Tomonori
5 Gabrielov, Andrei
5 Ishikawa, Goo
5 Koh, Sung-Eun
5 Martins, Luciana F.
5 Milán, Francisco
5 Ogata, Yuta
5 Pei, Donghe
5 Shin, Heayong
5 Tari, Farid
5 Wang, Changping
5 Yasumoto, Masashi
5 Yuan, Yuan
4 Aiyama, Reiko
4 Benedini Riul, Pedro
4 Ghomi, Mohammad
4 Hasegawa, Masaru
4 Huang, Xiaojun
4 Kumar, Pradip
4 Martín, Francisco
4 Musso, Emilio
4 Roitman, Pedro
4 Salis, Filippo
4 Sasaki, Takeshi
4 Tenenblat, Keti
4 Thorbergsson, Gudlaugur
4 Wang, Xiaozhen
4 Xiao, Ming
4 Xie, Zhenxiao
4 Yildirim, Handan
4 Yoshida, Masaaki
3 Akutagawa, Kazuo
3 Bettiol, Renato G.
3 Burstall, Francis Everett
3 Chen, Liang
3 Cheng, Xiaoliang
3 Cho, Joseph
3 Corro, Armando Mauro Vasquez
3 Daniel, Benoît
3 Kabata, Yutaro
3 Kamel, Alwaleed
3 Kato, Shin
3 Kitagawa, Yoshihisa
3 Mossa, Roberto
3 Nicolodi, Lorenzo
3 Nuño-Ballesteros, Juan José
3 Pember, Mason
3 Piccione, Paolo
3 Suyama, Yoshihiko
3 Tarasov, Vitaly Olegovich
3 Wang, Guofang
3 Xu, Bin
3 Yu, Zuhuan
3 Zhu, Xuwen
2 Aledo, Juan Ángel
2 Ando, Naoya
2 Butscher, Adrian
2 Cappelletti Montano, Beniamino
2 Chen, Jianhua
2 Chen, Qing
2 Chen, Weihuan
2 Chen, Yichao
2 Craizer, Marcos
2 Di Scala, Antonio Jose
2 Elshareef, Waleed Khaled
2 Fosdick, Roger L.
2 Fried, Eliot
2 Fujino, Hiroki
2 Fukui, Toshizumi
2 Gao, Ruihua
2 Georgiou, Nikos
2 Globevnik, Josip
2 Guilfoyle, Brendan S.
2 Hamada, Kohei
...and 265 more Authors
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Cited in 134 Serials

24 Tôhoku Mathematical Journal. Second Series
21 Differential Geometry and its Applications
15 The Journal of Geometric Analysis
13 Journal of Geometry and Physics
13 Journal of Geometry
11 Journal of Mathematical Analysis and Applications
10 Osaka Journal of Mathematics
10 Proceedings of the American Mathematical Society
10 Transactions of the American Mathematical Society
10 International Journal of Mathematics
9 Geometriae Dedicata
9 Journal of the Mathematical Society of Japan
9 Annals of Global Analysis and Geometry
9 Journal of Singularities
8 Advances in Mathematics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Mathematische Zeitschrift
8 Calculus of Variations and Partial Differential Equations
7 Results in Mathematics
7 Bulletin of the Brazilian Mathematical Society. New Series
6 Beiträge zur Algebra und Geometrie
6 Mathematische Annalen
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Manuscripta Mathematica
5 Proceedings of the Japan Academy. Series A
5 Topology and its Applications
4 Illinois Journal of Mathematics
4 Kodai Mathematical Journal
4 Journal of Elasticity
4 Mediterranean Journal of Mathematics
3 Rocky Mountain Journal of Mathematics
3 Hiroshima Mathematical Journal
3 Mathematische Nachrichten
3 Monatshefte für Mathematik
3 Nagoya Mathematical Journal
3 Pacific Journal of Mathematics
3 Journal of Knot Theory and its Ramifications
3 Science China. Mathematics
2 Communications in Algebra
2 Israel Journal of Mathematics
2 Anais da Academia Brasileira de Ciências
2 Annales Polonici Mathematici
2 Archiv der Mathematik
2 Duke Mathematical Journal
2 Hokkaido Mathematical Journal
2 Journal of Functional Analysis
2 Tokyo Journal of Mathematics
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Revista Matemática Iberoamericana
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Experimental Mathematics
2 Advances in Applied Clifford Algebras
2 Filomat
2 The New York Journal of Mathematics
2 Revista Matemática Complutense
2 Journal of High Energy Physics
2 Advances in Geometry
2 Journal of Algebra and its Applications
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Boundary Value Problems
2 Journal of Mathematical Physics, Analysis, Geometry
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
1 Communications in Mathematical Physics
1 Discrete Mathematics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Functional Analysis and its Applications
1 Glasgow Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Differential Equations
1 Journal of the Korean Mathematical Society
1 Journal für die Reine und Angewandte Mathematik
1 Mathematika
1 Michigan Mathematical Journal
1 Tamkang Journal of Mathematics
1 Tsukuba Journal of Mathematics
1 Bulletin of the Korean Mathematical Society
1 Note di Matematica
1 Computer Aided Geometric Design
1 Discrete & Computational Geometry
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 Journal of the Ramanujan Mathematical Society
1 Science in China. Series A
1 Sugaku Expositions
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Geometric and Functional Analysis. GAFA
1 Aequationes Mathematicae
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
...and 34 more Serials

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