Ando, Naoya The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles. (English) Zbl 07812473 Differ. Geom. Appl. 91, Article ID 102073, 25 p. (2023). MSC: 32L25 53B25 53B30 53C07 53C28 53C42 53C50 PDFBibTeX XMLCite \textit{N. Ando}, Differ. Geom. Appl. 91, Article ID 102073, 25 p. (2023; Zbl 07812473) Full Text: DOI
Barboza, W. F. C.; De Lima, H. F. On the rigidity of spacelike submanifolds with parallel Gaussian mean curvature vector. (English) Zbl 07722709 Acta Math. Hung. 170, No. 1, 323-329 (2023). MSC: 53C42 53E10 PDFBibTeX XMLCite \textit{W. F. C. Barboza} and \textit{H. F. De Lima}, Acta Math. Hung. 170, No. 1, 323--329 (2023; Zbl 07722709) Full Text: DOI
Ando, Naoya Isotropicity of surfaces with zero mean curvature vector in 4-dimensional spaces. (English) Zbl 1528.53056 Adachi, Toshiaki (ed.) et al., New horizons in differential geometry and its related fields. Singapore: World Scientific. 177-191 (2022). Reviewer: Hengyu Zhou (Chongqing) MSC: 53C40 53C42 PDFBibTeX XMLCite \textit{N. Ando}, in: New horizons in differential geometry and its related fields. Singapore: World Scientific. 177--191 (2022; Zbl 1528.53056) Full Text: DOI
Hoppe, Jens Exact algebraic m(em)brane solutions. (English) Zbl 1512.53012 Asian J. Math. 26, No. 2, 253-256 (2022). MSC: 53A35 53A10 53Z05 PDFBibTeX XMLCite \textit{J. Hoppe}, Asian J. Math. 26, No. 2, 253--256 (2022; Zbl 1512.53012) Full Text: DOI arXiv
Dursun, Uğur Constant angle surfaces in the Lorentzian warped product manifold \(I\times_f\mathbb{E}^2_1\). (English) Zbl 1515.53017 Turk. J. Math. 46, No. 8, 3171-3191 (2022). MSC: 53B25 53B30 53C42 PDFBibTeX XMLCite \textit{U. Dursun}, Turk. J. Math. 46, No. 8, 3171--3191 (2022; Zbl 1515.53017) Full Text: DOI
Ando, Naoya; Hamada, Kohei; Hashimoto, Kaname; Kato, Shin Regularity of ends of zero mean curvature surfaces in \(\mathbb{R}^{2,1}\). (English) Zbl 1507.53059 J. Math. Soc. Japan 74, No. 4, 1295-1334 (2022). MSC: 53C42 53A35 58E12 PDFBibTeX XMLCite \textit{N. Ando} et al., J. Math. Soc. Japan 74, No. 4, 1295--1334 (2022; Zbl 1507.53059) Full Text: DOI
Kaya, Seher; López, Rafael Classification of zero mean curvature surfaces of separable type in Lorentz-Minkowski space. (English) Zbl 1500.53015 Tôhoku Math. J. (2) 74, No. 2, 263-286 (2022). MSC: 53A35 53A10 53C42 PDFBibTeX XMLCite \textit{S. Kaya} and \textit{R. López}, Tôhoku Math. J. (2) 74, No. 2, 263--286 (2022; Zbl 1500.53015) Full Text: DOI arXiv
Akamine, Shintaro; Fujino, Hiroki Reflection principles for zero mean curvature surfaces in the simply isotropic 3-space. (English) Zbl 1497.53030 Result. Math. 77, No. 4, Paper No. 176, 13 p. (2022). MSC: 53A35 53A10 53B30 31A05 31A20 PDFBibTeX XMLCite \textit{S. Akamine} and \textit{H. Fujino}, Result. Math. 77, No. 4, Paper No. 176, 13 p. (2022; Zbl 1497.53030) Full Text: DOI arXiv
Ando, Naoya Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector. (English) Zbl 1494.53020 Abh. Math. Semin. Univ. Hamb. 92, No. 1, 105-123 (2022); correction ibid. 93, No. 2, 163-166 (2023). MSC: 53B25 53C42 53C50 PDFBibTeX XMLCite \textit{N. Ando}, Abh. Math. Semin. Univ. Hamb. 92, No. 1, 105--123 (2022; Zbl 1494.53020) Full Text: DOI
Gálvez, José A.; Mira, Pablo; Tassi, Marcos P. A quasiconformal Hopf soap bubble theorem. (English) Zbl 1502.53013 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 129, 20 p. (2022). Reviewer: Marina Ville (Paris) MSC: 53A10 53C42 35J60 PDFBibTeX XMLCite \textit{J. A. Gálvez} et al., Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 129, 20 p. (2022; Zbl 1502.53013) Full Text: DOI arXiv
Lou, Bendong; Wang, Xiaoliu; Yuan, Lixia Convergence to the grim reaper for a curvature flow with unbounded boundary slopes. (English) Zbl 1471.35190 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 159, 14 p. (2021). MSC: 35K93 35C07 35K20 53E10 PDFBibTeX XMLCite \textit{B. Lou} et al., Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 159, 14 p. (2021; Zbl 1471.35190) Full Text: DOI arXiv
Umehara, Masaaki; Yamada, Kotaro Hypersurfaces with light-like points in a Lorentzian manifold. II. (English) Zbl 1469.53016 Kodai Math. J. 44, No. 1, 69-76 (2021). MSC: 53A10 35M10 53B30 PDFBibTeX XMLCite \textit{M. Umehara} and \textit{K. Yamada}, Kodai Math. J. 44, No. 1, 69--76 (2021; Zbl 1469.53016) Full Text: DOI arXiv
Seo, Jin Ju; Yang, Seong-Deog Zero mean curvature surfaces in isotropic three-space. (English) Zbl 1476.53036 Bull. Korean Math. Soc. 58, No. 1, 1-20 (2021). Reviewer: Pradip Kumar (Lucknow) MSC: 53A35 53B30 PDFBibTeX XMLCite \textit{J. J. Seo} and \textit{S.-D. Yang}, Bull. Korean Math. Soc. 58, No. 1, 1--20 (2021; Zbl 1476.53036) Full Text: DOI
Akamine, S.; Honda, A.; Umehara, M.; Yamada, K. Bernstein-type theorem for zero mean curvature hypersurfaces without time-like points in Lorentz-Minkowski space. (English) Zbl 1461.53005 Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 175-181 (2021). MSC: 53A10 53C42 53B30 PDFBibTeX XMLCite \textit{S. Akamine} et al., Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 175--181 (2021; Zbl 1461.53005) Full Text: DOI arXiv
Ando, N. Surfaces with zero mean curvature vector in neutral 4-manifolds. (English) Zbl 1445.53011 Differ. Geom. Appl. 72, Article ID 101647, 30 p. (2020). MSC: 53B25 53C42 53B30 53C15 PDFBibTeX XMLCite \textit{N. Ando}, Differ. Geom. Appl. 72, Article ID 101647, 30 p. (2020; Zbl 1445.53011) Full Text: DOI
Traizet, Martin Construction of constant mean curvature \(n\)-noids using the DPW method. (English) Zbl 1508.53016 J. Reine Angew. Math. 763, 223-249 (2020). MSC: 53A10 53A05 22E67 PDFBibTeX XMLCite \textit{M. Traizet}, J. Reine Angew. Math. 763, 223--249 (2020; Zbl 1508.53016) Full Text: DOI arXiv
Ando, Naoya Surfaces in pseudo-Riemannian space forms with zero mean curvature vector. (English) Zbl 1479.53021 Kodai Math. J. 43, No. 1, 193-219 (2020). Reviewer: Esther Sanabria (Valencia) MSC: 53B25 35N10 49Q05 53B30 53C07 53C42 53C50 PDFBibTeX XMLCite \textit{N. Ando}, Kodai Math. J. 43, No. 1, 193--219 (2020; Zbl 1479.53021) Full Text: DOI Euclid
Akamine, S.; Umehara, M.; Yamada, K. Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz-Minkowski space using fluid mechanical duality. (English) Zbl 1433.53017 Proc. Am. Math. Soc., Ser. B 7, 17-27 (2020). MSC: 53A35 53A10 35M10 PDFBibTeX XMLCite \textit{S. Akamine} et al., Proc. Am. Math. Soc., Ser. B 7, 17--27 (2020; Zbl 1433.53017) Full Text: DOI arXiv
Akamine, Shintaro; Umehara, Masaaki; Yamada, Kotaro Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space. (English) Zbl 1441.53005 Proc. Japan Acad., Ser. A 95, No. 9, 97-102 (2019). MSC: 53A10 53B30 35M10 PDFBibTeX XMLCite \textit{S. Akamine} et al., Proc. Japan Acad., Ser. A 95, No. 9, 97--102 (2019; Zbl 1441.53005) Full Text: DOI arXiv Euclid
Umehara, M.; Yamada, K. Hypersurfaces with light-like points in a Lorentzian manifold. (English) Zbl 1430.53009 J. Geom. Anal. 29, No. 4, 3405-3437 (2019). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 53A10 53B30 35M10 53A35 PDFBibTeX XMLCite \textit{M. Umehara} and \textit{K. Yamada}, J. Geom. Anal. 29, No. 4, 3405--3437 (2019; Zbl 1430.53009) Full Text: DOI
Akamine, Shintaro; Singh, Rahul Kumar Wick rotations of solutions to the minimal surface equation, the zero mean curvature equation and the Born-Infeld equation. (English) Zbl 1417.53010 Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 35, 18 p. (2019). MSC: 53A10 58J72 53B30 53C42 PDFBibTeX XMLCite \textit{S. Akamine} and \textit{R. K. Singh}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 35, 18 p. (2019; Zbl 1417.53010) Full Text: DOI arXiv
Hashimoto, Kaname; Kato, Shin Bicomplex extensions of zero mean curvature surfaces in \(\mathbb{R}^{2, 1}\) and \(\mathbb{R}^{2, 2}\). (English) Zbl 1414.53052 J. Geom. Phys. 138, 223-240 (2019). MSC: 53C42 58E12 PDFBibTeX XMLCite \textit{K. Hashimoto} and \textit{S. Kato}, J. Geom. Phys. 138, 223--240 (2019; Zbl 1414.53052) Full Text: DOI
Fujimori, Shoichi Triply periodic zero mean curvature surfaces in Lorentz-Minkowski 3-space. (English) Zbl 1426.53015 Izumiya, Shyuichi (ed.) et al., Singularities in generic geometry. Proceedings of the 4th workshop on singularities in generic geometry and applications (Valencia IV), Kobe, Japan, June 3–6, 2015 and Kyoto, Japan, June 8–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 78, 201-219 (2018). Reviewer: Atsushi Fujioka (Osaka) MSC: 53A10 53A35 53C50 PDFBibTeX XMLCite \textit{S. Fujimori}, Adv. Stud. Pure Math. 78, 201--219 (2018; Zbl 1426.53015) Full Text: arXiv
Umehara, Masaaki; Yamada, Kotaro Surfaces with light-like points in Lorentz-Minkowski 3-space with applications. (English) Zbl 1402.53007 Cañadas-Pinedo, María A. (ed.) et al., Lorentzian geometry and related topics. GeLoMa 2016, Málaga, Spain, September 20–23, 2016. Cham: Springer (ISBN 978-3-319-66289-3/hbk; 978-3-319-66290-9/ebook). Springer Proceedings in Mathematics & Statistics 211, 253-273 (2017). MSC: 53A10 53B30 35M10 PDFBibTeX XMLCite \textit{M. Umehara} and \textit{K. Yamada}, Springer Proc. Math. Stat. 211, 253--273 (2017; Zbl 1402.53007) Full Text: DOI arXiv
Akamine, Shintaro Causal characters of zero mean curvature surfaces of Riemann type in the Lorentz-Minkowski 3-space. (English) Zbl 1409.53010 Kyushu J. Math. 71, No. 2, 211-249 (2017). MSC: 53A10 53A35 53B30 PDFBibTeX XMLCite \textit{S. Akamine}, Kyushu J. Math. 71, No. 2, 211--249 (2017; Zbl 1409.53010) Full Text: DOI arXiv
Liu, Huili; Jung, Seoung Dal Affine translation surfaces with constant mean curvature in Euclidean 3-space. (English) Zbl 1380.53011 J. Geom. 108, No. 2, 423-428 (2017). MSC: 53A05 53A10 53C42 PDFBibTeX XMLCite \textit{H. Liu} and \textit{S. D. Jung}, J. Geom. 108, No. 2, 423--428 (2017; Zbl 1380.53011) Full Text: DOI
Sun, Jun; Yang, Liuqing Generalized Lagrangian mean curvature flows in almost Calabi-Yau manifolds. (English) Zbl 1372.53068 J. Geom. Phys. 117, 68-83 (2017). Reviewer: Yong Wei (Act) MSC: 53C44 53C21 PDFBibTeX XMLCite \textit{J. Sun} and \textit{L. Yang}, J. Geom. Phys. 117, 68--83 (2017; Zbl 1372.53068) Full Text: DOI arXiv
Fox, Daniel J. F. Equiaffine geometry of level sets and ruled hypersurfaces with equiaffine mean curvature zero. (English) Zbl 1364.53009 Math. Nachr. 290, No. 2-3, 293-320 (2017). Reviewer: Hui Li Liu (Shenyang) MSC: 53A15 PDFBibTeX XMLCite \textit{D. J. F. Fox}, Math. Nachr. 290, No. 2--3, 293--320 (2017; Zbl 1364.53009) Full Text: DOI arXiv
Alencar, Hilário; do Carmo, Manfredo; Silva Neto, Gregório Stable hypersurfaces with zero scalar curvature in Euclidean space. (English) Zbl 1360.53016 Ark. Mat. 54, No. 2, 233-241 (2016). MSC: 53A07 53C42 PDFBibTeX XMLCite \textit{H. Alencar} et al., Ark. Mat. 54, No. 2, 233--241 (2016; Zbl 1360.53016) Full Text: DOI arXiv
Güler, Erhan; Konnai, Shotaro; Yasumoto, Masashi Bour surface companions in space forms. (English) Zbl 1346.53056 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 17th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 5–10, 2015. Sofia: Avangard Prima. 256-269 (2016). MSC: 53C42 53A35 53A10 PDFBibTeX XMLCite \textit{E. Güler} et al., in: Proceedings of the 17th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 5--10, 2015. Sofia: Avangard Prima. 256--269 (2016; Zbl 1346.53056) Full Text: Euclid
Eggers, J.; Hoppe, J.; Hynek, M.; Suramlishvili, N. Singularities of relativistic membranes. (English) Zbl 1350.53028 Geom. Flows 1, 17-33 (2015). MSC: 53B30 53B25 53A35 PDFBibTeX XMLCite \textit{J. Eggers} et al., Geom. Flows 1, 17--33 (2015; Zbl 1350.53028) Full Text: DOI Link
Fujimori, S.; Kim, Y. W.; Koh, S.-E.; Rossman, W.; Shin, H.; Umehara, M.; Yamada, K.; Yang, S.-D. Zero mean curvature surfaces in Lorentz-Minkowski 3-space and 2-dimensional fluid mechanics. (English) Zbl 1320.53017 Math. J. Okayama Univ. 57, 173-200 (2015). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 53A35 53A10 53B30 35Q35 76G99 PDFBibTeX XMLCite \textit{S. Fujimori} et al., Math. J. Okayama Univ. 57, 173--200 (2015; Zbl 1320.53017) Full Text: arXiv
Hong, Jiaxing On interior estimates for mean curvature of convex surfaces in \(\mathbb R^3\) and its applications. (English) Zbl 1303.53015 Ge, Molin (ed.) et al., Frontiers in differential geometry, partial differential equations and mathematical physics. In memory of Gu Chaohao. Hackensack, NJ: World Scientific (ISBN 978-981-4578-07-3/hbk; 978-981-4578-08-0/pbk). 105-124 (2014). MSC: 53A10 PDFBibTeX XMLCite \textit{J. Hong}, in: Frontiers in differential geometry, partial differential equations and mathematical physics. In memory of Gu Chaohao. Hackensack, NJ: World Scientific. 105--124 (2014; Zbl 1303.53015) Full Text: DOI
Fijimori, Shoichi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro; Yang, Seong-Deog Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space. (English) Zbl 1301.53056 Mich. Math. J. 63, No. 1, 189-207 (2014). Reviewer: Huafei Sun (Beijing) MSC: 53C42 53B30 PDFBibTeX XMLCite \textit{S. Fijimori} et al., Mich. Math. J. 63, No. 1, 189--207 (2014; Zbl 1301.53056) Full Text: DOI arXiv Euclid
Ganchev, Georgi; Milousheva, Velichka Timelike surfaces with zero mean curvature in Minkowski 4-space. (English) Zbl 1281.53022 Isr. J. Math. 196, 413-433 (2013). Reviewer: Gheorghe Zet (Iaşi) MSC: 53B25 53B30 PDFBibTeX XMLCite \textit{G. Ganchev} and \textit{V. Milousheva}, Isr. J. Math. 196, 413--433 (2013; Zbl 1281.53022) Full Text: DOI arXiv
Kim, Jong Ryul On extrinsic symmetric spaces with zero mean curvature in Minkowski space-time. (English. French summary) Zbl 1275.53023 C. R., Math., Acad. Sci. Paris 351, No. 11-12, 471-475 (2013). MSC: 53B25 53B30 PDFBibTeX XMLCite \textit{J. R. Kim}, C. R., Math., Acad. Sci. Paris 351, No. 11--12, 471--475 (2013; Zbl 1275.53023) Full Text: DOI Link
Romero, Alfonso; Rubio, Rafael M. On maximal surfaces in certain non-flat 3-dimensional Robertson-Walker spacetimes. (English) Zbl 1255.53046 Math. Phys. Anal. Geom. 15, No. 3, 193-202 (2012). MSC: 53C42 53C50 35J60 PDFBibTeX XMLCite \textit{A. Romero} and \textit{R. M. Rubio}, Math. Phys. Anal. Geom. 15, No. 3, 193--202 (2012; Zbl 1255.53046) Full Text: DOI
Bray, Hubert L. On the positive mass, Penrose, and ZAS inequalities in general dimension. (English) Zbl 1260.53127 Bray, Hubert (ed.) et al., Surveys in geometric analysis and relativity. Dedicated to Richard Schoen in honor of his 60th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-230-5/pbk). Advanced Lectures in Mathematics (ALM) 20, 1-27 (2011). Reviewer: Peter Kraut (Erlabrunn) MSC: 53C80 53C44 53C20 PDFBibTeX XMLCite \textit{H. L. Bray}, Adv. Lect. Math. (ALM) 20, 1--27 (2011; Zbl 1260.53127) Full Text: arXiv
Caballero, Magdalena; Rubio, Rafael M. Calabi-Bernstein problems for spacelike slices in certain generalized Robertson-Walker spacetimes. (English) Zbl 1230.53056 Plaue, Matthias (ed.) et al., Advances in Lorentzian geometry. Proceedings of the Lorentzian geometry conference in Berlin, Germany, November 18–21, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5352-8/pbk). AMS/IP Studies in Advanced Mathematics 49, 11-16 (2011). MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{M. Caballero} and \textit{R. M. Rubio}, AMS/IP Stud. Adv. Math. 49, 11--16 (2011; Zbl 1230.53056)
Palmer, Bennett Area minimization among marginally trapped surfaces in Lorentz-Minkowski space. (English) Zbl 1217.53062 Calc. Var. Partial Differ. Equ. 41, No. 3-4, 387-395 (2011). MSC: 53C42 49Q10 53B30 PDFBibTeX XMLCite \textit{B. Palmer}, Calc. Var. Partial Differ. Equ. 41, No. 3--4, 387--395 (2011; Zbl 1217.53062) Full Text: DOI arXiv
Perdomo, Oscar M. Algebraic zero mean curvature hypersurfaces in de Sitter and anti de Sitter spaces. (English) Zbl 1257.53091 Geom. Dedicata 152, 183-196 (2011). MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{O. M. Perdomo}, Geom. Dedicata 152, 183--196 (2011; Zbl 1257.53091) Full Text: DOI arXiv
Kim, Young-Heon; McCann, Robert J.; Warren, Micah Pseudo-Riemann geometry calibrates optimal transportation. (English) Zbl 1222.49059 Math. Res. Lett. 17, No. 6, 1183-1197 (2010). MSC: 49Q20 53B21 PDFBibTeX XMLCite \textit{Y.-H. Kim} et al., Math. Res. Lett. 17, No. 6, 1183--1197 (2010; Zbl 1222.49059) Full Text: DOI arXiv
Romero, Alfonso; Rubio, Rafael M. New proof of the Calabi-Bernstein theorem. (English) Zbl 1198.53061 Geom. Dedicata 147, 173-176 (2010). MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{A. Romero} and \textit{R. M. Rubio}, Geom. Dedicata 147, 173--176 (2010; Zbl 1198.53061) Full Text: DOI
Caballero, Magdalena; Romero, Alfonso; Rubio, Rafael M. Uniqueness of maximal surfaces in generalized Robertson-Walker spacetimes and Calabi-Bernstein type problems. (English) Zbl 1185.53062 J. Geom. Phys. 60, No. 3, 394-402 (2010). MSC: 53C42 53C50 35J60 PDFBibTeX XMLCite \textit{M. Caballero} et al., J. Geom. Phys. 60, No. 3, 394--402 (2010; Zbl 1185.53062) Full Text: DOI
Kim, Young Wook; Lee, Hyung Yong; Yang, Seong-Deog Minimal harmonic graphs and their Lorentzian cousins. (English) Zbl 1161.53051 J. Math. Anal. Appl. 353, No. 2, 666-670 (2009). MSC: 53C43 53A10 53B50 PDFBibTeX XMLCite \textit{Y. W. Kim} et al., J. Math. Anal. Appl. 353, No. 2, 666--670 (2009; Zbl 1161.53051) Full Text: DOI
Ferreira, Walterson P.; Tenenblat, Keti On hypersurfaces with zero r-mean curvature. (English) Zbl 1213.53077 Result. Math. 52, No. 3-4, 261-280 (2008). MSC: 53C42 53C21 53A07 PDFBibTeX XMLCite \textit{W. P. Ferreira} and \textit{K. Tenenblat}, Result. Math. 52, No. 3--4, 261--280 (2008; Zbl 1213.53077) Full Text: DOI
Rodríguez, M. Magdalena Minimal surfaces with genus zero. (English) Zbl 1243.49047 Iglesias Ponte, David (ed.) et al., Proceedings of the XV international workshop on geometry and physics, Puerto de la Cruz, Spain, September 11–16, 2006. Madrid: Real Sociedad Matemática Española (ISBN 978-84-935196-1-2/pbk). Publicaciones de la Real Sociedad Matemática Española 11, 337-342 (2007). MSC: 49Q05 53A10 PDFBibTeX XMLCite \textit{M. M. Rodríguez}, Publ. R. Soc. Mat. Esp. 11, 337--342 (2007; Zbl 1243.49047) Full Text: arXiv
Grosse-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. Coplanar constant mean curvature surfaces. (English) Zbl 1145.53002 Commun. Anal. Geom. 15, No. 5, 985-1023 (2007). MSC: 53A10 53C45 PDFBibTeX XMLCite \textit{K. Grosse-Brauckmann} et al., Commun. Anal. Geom. 15, No. 5, 985--1023 (2007; Zbl 1145.53002) Full Text: DOI arXiv Euclid
Alencar, Hilário; do Carmo, Manfredo; Fernández, Isabel; Tribuzy, Renato A theorem of H. Hopf and the Cauchy-Riemann inequality. II. (English) Zbl 1157.53349 Bull. Braz. Math. Soc. (N.S.) 38, No. 4, 525-532 (2007). MSC: 53C42 20A10 PDFBibTeX XMLCite \textit{H. Alencar} et al., Bull. Braz. Math. Soc. (N.S.) 38, No. 4, 525--532 (2007; Zbl 1157.53349) Full Text: DOI Link
Dursun, Uǧur Time-like hypersurfaces of four-dimensional Lorentzian space forms with zero mean curvature. (English) Zbl 1138.53017 Int. Math. Forum 2, No. 53-56, 2687-2699 (2007). MSC: 53A35 53B25 PDFBibTeX XMLCite \textit{U. Dursun}, Int. Math. Forum 2, No. 53--56, 2687--2699 (2007; Zbl 1138.53017) Full Text: DOI
Neves, André Singularities of Lagrangian mean curvature flow: zero-Maslov class case. (English) Zbl 1119.53052 Invent. Math. 168, No. 3, 449-484 (2007). Reviewer: Manuel C. Guerra (Lisboa) MSC: 53D12 PDFBibTeX XMLCite \textit{A. Neves}, Invent. Math. 168, No. 3, 449--484 (2007; Zbl 1119.53052) Full Text: DOI arXiv
Schwartz, Fernando The zero scalar curvature Yamabe problem on noncompact manifolds with boundary. (English) Zbl 1116.53026 Indiana Univ. Math. J. 55, No. 4, 1449-1459 (2006). Reviewer: Thomas Püttmann (Bonn) MSC: 53C21 35J60 53A30 PDFBibTeX XMLCite \textit{F. Schwartz}, Indiana Univ. Math. J. 55, No. 4, 1449--1459 (2006; Zbl 1116.53026) Full Text: DOI arXiv
Meeks, William H. III; Pérez, Joaquín; Ros, Antonio The geometry of minimal surfaces of finite genus I: Curvature estimates and quasiperiodicity. (English) Zbl 1068.53012 J. Differ. Geom. 66, No. 1, 1-45 (2004). Reviewer: Ülo Lumiste (Tartu) MSC: 53A10 54C25 PDFBibTeX XMLCite \textit{W. H. Meeks III} et al., J. Differ. Geom. 66, No. 1, 1--45 (2004; Zbl 1068.53012) Full Text: DOI
Corro, A. V.; Ferreira, W.; Tenenblat, K. Ribaucour transformations for constant mean curvature and linear Weingarten surfaces. (English) Zbl 1059.53009 Pac. J. Math. 212, No. 2, 265-296 (2004). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 53A10 53A05 PDFBibTeX XMLCite \textit{A. V. Corro} et al., Pac. J. Math. 212, No. 2, 265--296 (2004; Zbl 1059.53009) Full Text: DOI
Escobar, José F.; Garcia, Gonzalo Conformal metrics on the ball with zero scalar curvature and prescribed mean curvature on the boundary. (English) Zbl 1056.53026 J. Funct. Anal. 211, No. 1, 71-152 (2004). Reviewer: Gabjin Yun (Yangin) MSC: 53C21 53C42 58J32 PDFBibTeX XMLCite \textit{J. F. Escobar} and \textit{G. Garcia}, J. Funct. Anal. 211, No. 1, 71--152 (2004; Zbl 1056.53026) Full Text: DOI
Klyachin, V. A. Surfaces of zero mean curvature of mixed type in Minkowski space. (English. Russian original) Zbl 1076.53015 Izv. Math. 67, No. 2, 209-224 (2003); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 2, 5-20 (2003). Reviewer: Manfred Husty (Innsbruck) MSC: 53A35 53B30 53C50 PDFBibTeX XMLCite \textit{V. A. Klyachin}, Izv. Math. 67, No. 2, 209--224 (2003; Zbl 1076.53015); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 2, 5--20 (2003) Full Text: DOI
Fujioka, Atsushi; Inoguchi, Jun-ichi Spacelike surfaces with harmonic inverse mean curvature. (English) Zbl 1018.53007 J. Math. Sci., Tokyo 7, No. 4, 657-698 (2000). Reviewer: Jan L.Cieśliński (Białystok) MSC: 53A10 53B30 37K25 PDFBibTeX XMLCite \textit{A. Fujioka} and \textit{J.-i. Inoguchi}, J. Math. Sci., Tokyo 7, No. 4, 657--698 (2000; Zbl 1018.53007)
Grosse-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. Constant mean curvature surfaces with three ends. (English) Zbl 0980.53011 Proc. Natl. Acad. Sci. USA 97, No. 26, 14067-14068 (2000). MSC: 53A10 53C42 PDFBibTeX XMLCite \textit{K. Grosse-Brauckmann} et al., Proc. Natl. Acad. Sci. USA 97, No. 26, 14067--14068 (2000; Zbl 0980.53011) Full Text: DOI arXiv
Alías, Luis J.; Palmer, Bennett Curvature properties of zero mean curvature surfaces in four-dimensional Lorentzian space forms. (English) Zbl 0947.53031 Math. Proc. Camb. Philos. Soc. 124, No. 2, 315-327 (1998). Reviewer: A.Romero (Granada) MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{L. J. Alías} and \textit{B. Palmer}, Math. Proc. Camb. Philos. Soc. 124, No. 2, 315--327 (1998; Zbl 0947.53031) Full Text: DOI
Meeks, William H. III; Pérez, Joaquín; Ros, Antonio Uniqueness of the Riemann minimal examples. (English) Zbl 0916.53004 Invent. Math. 133, No. 1, 107-132 (1998). Reviewer: T.Hasanis (Ioannina) MSC: 53A10 PDFBibTeX XMLCite \textit{W. H. Meeks III} et al., Invent. Math. 133, No. 1, 107--132 (1998; Zbl 0916.53004) Full Text: DOI
Lazard-Holly, Hippolyte; Meeks, William H. III Classification of genus zero minimal surfaces properly embedded in \(\mathbb{R}^ 3/\mathbb{Z}^ 2\). (Classification des surfaces minimales de genre zéro proprement plongées dans \(\mathbb{R}^ 3/\mathbb{Z}^ 2\).) (French) Zbl 0884.53046 C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 7, 753-754 (1997). MSC: 53C42 53A10 PDFBibTeX XMLCite \textit{H. Lazard-Holly} and \textit{W. H. Meeks III}, C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 7, 753--754 (1997; Zbl 0884.53046) Full Text: DOI
Alías, Luis J.; Palmer, Bennett Deformations of stationary surfaces. (English) Zbl 0891.53043 Classical Quantum Gravity 14, No. 8, 2107-2111 (1997). Reviewer: W.Kühnel (Stuttgart) MSC: 53C42 49Q05 53C50 49Q20 PDFBibTeX XMLCite \textit{L. J. Alías} and \textit{B. Palmer}, Classical Quantum Gravity 14, No. 8, 2107--2111 (1997; Zbl 0891.53043) Full Text: DOI
Larsen, Jens Chr. Complex analysis, maximal immersions and metric singularities. (English) Zbl 0866.53011 Monatsh. Math. 122, No. 2, 105-156 (1996). Reviewer: A.Romero (Granada) MSC: 53B30 53B25 PDFBibTeX XMLCite \textit{J. Chr. Larsen}, Monatsh. Math. 122, No. 2, 105--156 (1996; Zbl 0866.53011) Full Text: DOI EuDML
Finn, Robert Local and global existence criteria for capillary surfaces in wedges. (English) Zbl 0872.76017 Calc. Var. Partial Differ. Equ. 4, No. 4, 305-322 (1996). Reviewer: E.Miersemann (Leipzig) MSC: 76B45 53A10 49Q10 53C80 PDFBibTeX XMLCite \textit{R. Finn}, Calc. Var. Partial Differ. Equ. 4, No. 4, 305--322 (1996; Zbl 0872.76017) Full Text: DOI
Concus, Paul; Finn, Robert Capillary wedges revisited. (English) Zbl 0843.76012 SIAM J. Math. Anal. 27, No. 1, 56-69 (1996). MSC: 76B45 53A10 35B30 49Q99 PDFBibTeX XMLCite \textit{P. Concus} and \textit{R. Finn}, SIAM J. Math. Anal. 27, No. 1, 56--69 (1996; Zbl 0843.76012) Full Text: DOI
Miklyukov, Vladimir M. Space-like tubes of zero mean curvature in Minkowski space. (English) Zbl 0869.53037 Concus, Paul (ed.) et al., Advances in geometric analysis and continuum mechanics. Proceedings of a conference, held at Stanford University, Stanford, CA, USA, August 2-5, 1993 in honor of the seventieth birthday of Robert Finn. Cambridge, MA: International Press. 209-224 (1995). Reviewer: A.Bejancu (Iaşi) MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{V. M. Miklyukov}, in: Advances in geometric analysis and continuum mechanics. Proceedings of a conference, held at Stanford University, Stanford, CA, USA, August 2-5, 1993 in honor of the seventieth birthday of Robert Finn. Cambridge, MA: International Press. 209--224 (1995; Zbl 0869.53037)
Van de Woestyne, I. Minimal homothetical hypersurfaces of a semi-Euclidean space. (English) Zbl 0845.53017 Result. Math. 27, No. 3-4, 333-342 (1995). Reviewer: A.Romero (Granada) MSC: 53B25 53B30 PDFBibTeX XMLCite \textit{I. Van de Woestyne}, Result. Math. 27, No. 3--4, 333--342 (1995; Zbl 0845.53017) Full Text: DOI EuDML
Miklyukov, V. M. Maximal tubes and bands in Minkowski space. (English. Russian original) Zbl 0801.53042 Russ. Acad. Sci., Sb., Math. 77, No. 2, 427-453 (1994); translation from Mat. Sb. 183, No. 12, 45-76 (1992). MSC: 53C40 53C50 53C42 PDFBibTeX XMLCite \textit{V. M. Miklyukov}, Russ. Acad. Sci., Sb., Math. 77, No. 2, 45--76 (1992; Zbl 0801.53042); translation from Mat. Sb. 183, No. 12, 45--76 (1992) Full Text: DOI
Alías, Luis J.; Ferrández, Angel; Lucas, Pascual Surfaces in the 3-dimensional Lorentz-Minkowski space satisfying \(\Delta x = Ax + B\). (English) Zbl 0769.53009 Pac. J. Math. 156, No. 2, 201-208 (1992). Reviewer: B.Rouxel (Quimper) MSC: 53B30 53C42 PDFBibTeX XMLCite \textit{L. J. Alías} et al., Pac. J. Math. 156, No. 2, 201--208 (1992; Zbl 0769.53009) Full Text: DOI
Finn, R.; Vogel, T. I. On the volume infimum for liquid bridges. (English) Zbl 0760.76015 Z. Anal. Anwend. 11, No. 1, 3-23 (1992). MSC: 76B45 53A10 49Q10 PDFBibTeX XMLCite \textit{R. Finn} and \textit{T. I. Vogel}, Z. Anal. Anwend. 11, No. 1, 3--23 (1992; Zbl 0760.76015) Full Text: DOI
Kossowski, Marek Restrictions on zero mean curvature surfaces in Minkowski space. (English) Zbl 0732.53050 Q. J. Math., Oxf. II. Ser. 42, No. 167, 315-324 (1991). Reviewer: T.Ishihara (Tokushima) MSC: 53C42 53C50 53A10 PDFBibTeX XMLCite \textit{M. Kossowski}, Q. J. Math., Oxf. II. Ser. 42, No. 167, 315--324 (1991; Zbl 0732.53050) Full Text: DOI
Estudillo, Francisco J. M.; Romero, Alfonso On maximal surfaces in the \(n\)-dimensional Lorentz-Minkowski space. (English) Zbl 0732.53048 Geom. Dedicata 38, No. 2, 167-174 (1991). Reviewer: B.Palmer (Berlin) MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{F. J. M. Estudillo} and \textit{A. Romero}, Geom. Dedicata 38, No. 2, 167--174 (1991; Zbl 0732.53048) Full Text: DOI
Lopez, Francisco J.; Ros, Antonio On embedded complete minimal surfaces of genus zero. (English) Zbl 0719.53004 J. Differ. Geom. 33, No. 1, 293-300 (1991). Reviewer: C.J.Costa (Niteroi) MSC: 53A10 PDFBibTeX XMLCite \textit{F. J. Lopez} and \textit{A. Ros}, J. Differ. Geom. 33, No. 1, 293--300 (1991; Zbl 0719.53004) Full Text: DOI
Magid, Martin A. The Bernstein problem for timelike surfaces. (English) Zbl 0716.53056 Yokohama Math. J. 37, No. 2, 125-137 (1990). Reviewer: A.Romero Sarabia MSC: 53C42 53C50 PDFBibTeX XMLCite \textit{M. A. Magid}, Yokohama Math. J. 37, No. 2, 125--137 (1990; Zbl 0716.53056)
Wang, Ai Nung On convexity of level curves. (English) Zbl 0697.53016 Chin. J. Math. 17, No. 4, 307-308 (1989). Reviewer: T.Hasanis MSC: 53A10 53A05 PDFBibTeX XMLCite \textit{A. N. Wang}, Chin. J. Math. 17, No. 4, 307--308 (1989; Zbl 0697.53016)
Williams, C. J. K. Use of structural analogy in generation of smooth surfaces for engineering purposes. (English) Zbl 0655.65036 Comput.-Aided Des. 19, No. 6, 310-322 (1987). MSC: 65D15 51N05 53A10 53A04 PDFBibTeX XMLCite \textit{C. J. K. Williams}, Comput.-Aided Des. 19, No. 6, 310--322 (1987; Zbl 0655.65036) Full Text: DOI
Abresch, Uwe Old and new doubly periodic solutions of the Sinh-Gordon equation. (English) Zbl 0635.35029 New results in nonlinear partial differential equations, Semin. Bonn/FRG 1984, Aspects. Math. E10, 37-73 (1987). Reviewer: O.Vejvoda MSC: 35J60 35B10 53C42 53A10 PDFBibTeX XML
Lancaster, Kirk E. Nonexistence of some nonparametric surfaces of prescribed mean curvature. (English) Zbl 0602.35040 Proc. Am. Math. Soc. 96, 187-188 (1986). MSC: 35J65 53C42 35J25 35A05 PDFBibTeX XMLCite \textit{K. E. Lancaster}, Proc. Am. Math. Soc. 96, 187--188 (1986; Zbl 0602.35040) Full Text: DOI
Gonzalez, E.; Massari, U.; Tamanini, I. On the regularity of boundaries of sets minimizing perimeter with a volume constraint. (English) Zbl 0486.49024 Indiana Univ. Math. J. 32, 25-37 (1983). MSC: 49Q05 53A10 49Q20 53A05 PDFBibTeX XMLCite \textit{E. Gonzalez} et al., Indiana Univ. Math. J. 32, 25--37 (1983; Zbl 0486.49024) Full Text: DOI
Hofman, David Lower bounds on the first eigenvalue of the Laplacian of Riemannian submanifolds. (English) Zbl 0433.58019 Minimal submanifolds and geodesics, Proc. Jap.-U.S. Semin., Tokyo 1977, 61-72 (1979). MSC: 58J50 35K05 35P15 49Q05 53A10 PDFBibTeX XML
Fomenko, V. T. Some properties of two-dimensional surfaces with zero normal torsion in \(E^4\). (English) Zbl 0424.53005 Math. USSR, Sb. 35, 251-265 (1979). MSC: 53A05 PDFBibTeX XMLCite \textit{V. T. Fomenko}, Math. USSR, Sb. 35, 251--265 (1979; Zbl 0424.53005) Full Text: DOI
Fomenko, V. T. Gewisse Eigenschaften zweidimensionaler Flächen mit verschwindender Normalwindung im \(E^4\). (Russian) Zbl 0394.53003 Mat. Sb., N. Ser. 106(148), 589-603 (1978). MSC: 53A05 PDFBibTeX XMLCite \textit{V. T. Fomenko}, Mat. Sb., Nov. Ser. 106(148), 589--603 (1978; Zbl 0394.53003)