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Burago, Yuriĭ Dmitrievich

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Author ID: burago.yurii-dmitrievich Recent zbMATH articles by "Burago, Yuriĭ Dmitrievich"
Published as: Burago, Yu D.; Burago, Yu.; Burago, Yu. D.; Burago, Yuri
External Links: Math-Net.Ru
Documents Indexed: 74 Publications since 1960, including 6 Books

Publications by Year

Citations contained in zbMATH

35 Publications have been cited 1,262 times in 1,211 Documents Cited by Year
A course in metric geometry. Zbl 0981.51016
Burago, D.; Burago, Yu.; Ivanov, S.
741
2001
Geometric inequalities. Transl. from the Russian by A. B. Sossinsky. Transl. from the Russian by A.B. Sossinsky. Zbl 0633.53002
Burago, Yu. D.; Zalgaller, V. A.
282
1988
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
64
1992
Geometric inequalities. (Geometricheskie neravenstva). Zbl 0436.52009
Burago, Yu. D.; Zalgaller, V. A.
41
1980
Introduction to Riemannian geometry. Zbl 0814.53001
Burago, Yu. D.; Zalgaller, V. A.
20
1994
Polyhedral embedding of a net. Zbl 0098.35403
Burago, Yu. D.; Zalgaller, V. A.
16
1960
Convex sets in Riemannian spaces of non-negative curvature. Zbl 0397.53031
Burago, Yu. D.; Zalgaller, V. A.
12
1977
Potential theory and function theory for irregular regions. Zbl 0177.37502
Burago, Yu. D.; Maz’ya, V. G.
12
1969
Certain questions of potential theory and function theory for regions with irregular boundaries. Zbl 0172.14903
Burago, Yu. D.; Maz’ya, V. G.
11
1967
Isometric piecewise-linear immersions of two-dimensional manifolds with polyhedral metric into \(\mathbb{R}^ 3\). Zbl 0851.52018
Burago, Yu. D.; Zalgaller, V. A.
10
1995
The geometry of surfaces in Euclidean spaces. Zbl 0781.53006
Burago, Yu. D.; Shefel’, S. Z.
8
1989
Isoperimetric inequalities in the theory of surfaces of bounded external curvature. Zbl 0198.55001
Burago, Yu. D.
6
1968
Geometry of surfaces in Euclidean spaces. Zbl 0711.53003
Burago, Yu. D.
5
1989
Existence of a complete metric with given curvature on a non-compact surface. Zbl 0511.53046
Burago, Yu. D.
4
1982
On the theory of simple and double-layer potentials for domains with irregular boundaries. Zbl 0184.33104
Burago, Yu. D.; Maz’ya, V. G.; Sapozhnikova, V. D.
3
1968
Quasigeodesics. Zbl 0162.25905
Aleksandrov, A. D.; Burago, Yu. D.
3
1965
The trace of \(BV\)-functions on an irregular subset. Zbl 1225.46025
Burago, Yu. D.; Kosovskiĭ, N. N.
2
2011
Remarks on Chebyshev coordinates. Zbl 1151.53349
Burago, Yu. D.; Ivanov, S. V.; Malev, S. G.
2
2007
On the injectivity radius of surfaces with curvature bounded from above. Zbl 0438.53052
Burago, Yu. D.
2
1978
On three-dimensional Riemannian spaces with curvature bounded above. Zbl 0277.53025
Burago, Yu. D.; Toponogov, V. A.
2
1973
Double layer potential for nonregular regions. Zbl 0142.38303
Burago, Yu. D.; Maz’ya, V. G.; Sapozhnikova, V. D.
2
1962
Boundary trace for BV functions in regions with irregular boundary. Zbl 1194.46047
Burago, Yuri; Kosovsky, N.
1
2009
Viktor Andreevich Toponogov (obituary). Zbl 1210.01023
Aleksandrov, V. A.; Borisenko, A. A.; Borisov, Yu F.; Burago, Yu D.; Vershinin, V. V.; et al.
1
2006
Bi-Lipschitz-equivalent Aleksandrov surfaces. II. Zbl 1092.53052
Burago, Yu.
1
2005
Metrics of upper bounded curvature on 2-polyhedra.  II. Zbl 0929.52009
Burago, Yu. D.; Buyalo, S. V.
1
1998
Smoothness and singularities of convex hypersurfaces. Zbl 0873.52004
Burago, Yu. D.; Kalinin, B. V.
1
1996
Geometry III. Theory of surfaces. Transl. from the Russian by E. Primrose. Zbl 0777.00060
Burago, Yu. D. (ed.); Zalgaller, V. A. (ed.); Gamkrelidze, R. V. (ed.)
1
1992
Sufficient criteria of convexity. Zbl 0389.52001
Burago, Yu. D.; Zalgaller, V. A.
1
1978
Hinreichende Kriterien der Konvexität. Zbl 0348.52003
Burago, Yu. D.; Zalgaller, V. A.
1
1974
Über dreidimensionale Riemannsche Räume mit nach oben beschränkter Krümmung. Zbl 0277.53024
Burago, Yu. D.; Toponogov, V. A.
1
1973
An estimate from below for the spatial diameter of a surface in terms of its intrinsic radius and curvature. Zbl 0251.52018
Burago, Yu. D.
1
1972
An estimate from below for the spatial diameter of a surface in terms of its intrinsic radius and curvature. Zbl 0225.52005
Burago, Yu. D.
1
1971
Isoperimetric problems for regions on a surface having restricted width. Zbl 0167.50802
Burago, Yu. D.; Zalgaller, V. A.
1
1967
Kurven in konvergenten Räumen. Zbl 0142.20302
Burago, Yu. D.
1
1965
Realization of a metrized two-dimensional manifold by a surface in \(E^3\). Zbl 0100.36501
Burago, Yu. D.
1
1961
The trace of \(BV\)-functions on an irregular subset. Zbl 1225.46025
Burago, Yu. D.; Kosovskiĭ, N. N.
2
2011
Boundary trace for BV functions in regions with irregular boundary. Zbl 1194.46047
Burago, Yuri; Kosovsky, N.
1
2009
Remarks on Chebyshev coordinates. Zbl 1151.53349
Burago, Yu. D.; Ivanov, S. V.; Malev, S. G.
2
2007
Viktor Andreevich Toponogov (obituary). Zbl 1210.01023
Aleksandrov, V. A.; Borisenko, A. A.; Borisov, Yu F.; Burago, Yu D.; Vershinin, V. V.; et al.
1
2006
Bi-Lipschitz-equivalent Aleksandrov surfaces. II. Zbl 1092.53052
Burago, Yu.
1
2005
A course in metric geometry. Zbl 0981.51016
Burago, D.; Burago, Yu.; Ivanov, S.
741
2001
Metrics of upper bounded curvature on 2-polyhedra.  II. Zbl 0929.52009
Burago, Yu. D.; Buyalo, S. V.
1
1998
Smoothness and singularities of convex hypersurfaces. Zbl 0873.52004
Burago, Yu. D.; Kalinin, B. V.
1
1996
Isometric piecewise-linear immersions of two-dimensional manifolds with polyhedral metric into \(\mathbb{R}^ 3\). Zbl 0851.52018
Burago, Yu. D.; Zalgaller, V. A.
10
1995
Introduction to Riemannian geometry. Zbl 0814.53001
Burago, Yu. D.; Zalgaller, V. A.
20
1994
A. D. Alexandrov spaces with curvature bounded below. Zbl 0802.53018
Burago, Yu.; Gromov, M.; Perel’man, G.
64
1992
Geometry III. Theory of surfaces. Transl. from the Russian by E. Primrose. Zbl 0777.00060
Burago, Yu. D. (ed.); Zalgaller, V. A. (ed.); Gamkrelidze, R. V. (ed.)
1
1992
The geometry of surfaces in Euclidean spaces. Zbl 0781.53006
Burago, Yu. D.; Shefel’, S. Z.
8
1989
Geometry of surfaces in Euclidean spaces. Zbl 0711.53003
Burago, Yu. D.
5
1989
Geometric inequalities. Transl. from the Russian by A. B. Sossinsky. Transl. from the Russian by A.B. Sossinsky. Zbl 0633.53002
Burago, Yu. D.; Zalgaller, V. A.
282
1988
Existence of a complete metric with given curvature on a non-compact surface. Zbl 0511.53046
Burago, Yu. D.
4
1982
Geometric inequalities. (Geometricheskie neravenstva). Zbl 0436.52009
Burago, Yu. D.; Zalgaller, V. A.
41
1980
On the injectivity radius of surfaces with curvature bounded from above. Zbl 0438.53052
Burago, Yu. D.
2
1978
Sufficient criteria of convexity. Zbl 0389.52001
Burago, Yu. D.; Zalgaller, V. A.
1
1978
Convex sets in Riemannian spaces of non-negative curvature. Zbl 0397.53031
Burago, Yu. D.; Zalgaller, V. A.
12
1977
Hinreichende Kriterien der Konvexität. Zbl 0348.52003
Burago, Yu. D.; Zalgaller, V. A.
1
1974
On three-dimensional Riemannian spaces with curvature bounded above. Zbl 0277.53025
Burago, Yu. D.; Toponogov, V. A.
2
1973
Über dreidimensionale Riemannsche Räume mit nach oben beschränkter Krümmung. Zbl 0277.53024
Burago, Yu. D.; Toponogov, V. A.
1
1973
An estimate from below for the spatial diameter of a surface in terms of its intrinsic radius and curvature. Zbl 0251.52018
Burago, Yu. D.
1
1972
An estimate from below for the spatial diameter of a surface in terms of its intrinsic radius and curvature. Zbl 0225.52005
Burago, Yu. D.
1
1971
Potential theory and function theory for irregular regions. Zbl 0177.37502
Burago, Yu. D.; Maz’ya, V. G.
12
1969
Isoperimetric inequalities in the theory of surfaces of bounded external curvature. Zbl 0198.55001
Burago, Yu. D.
6
1968
On the theory of simple and double-layer potentials for domains with irregular boundaries. Zbl 0184.33104
Burago, Yu. D.; Maz’ya, V. G.; Sapozhnikova, V. D.
3
1968
Certain questions of potential theory and function theory for regions with irregular boundaries. Zbl 0172.14903
Burago, Yu. D.; Maz’ya, V. G.
11
1967
Isoperimetric problems for regions on a surface having restricted width. Zbl 0167.50802
Burago, Yu. D.; Zalgaller, V. A.
1
1967
Quasigeodesics. Zbl 0162.25905
Aleksandrov, A. D.; Burago, Yu. D.
3
1965
Kurven in konvergenten Räumen. Zbl 0142.20302
Burago, Yu. D.
1
1965
Double layer potential for nonregular regions. Zbl 0142.38303
Burago, Yu. D.; Maz’ya, V. G.; Sapozhnikova, V. D.
2
1962
Realization of a metrized two-dimensional manifold by a surface in \(E^3\). Zbl 0100.36501
Burago, Yu. D.
1
1961
Polyhedral embedding of a net. Zbl 0098.35403
Burago, Yu. D.; Zalgaller, V. A.
16
1960
all top 5

Cited by 1,438 Authors

13 Hua, Bobo
12 Galaz-Garcia, Fernando
12 Lutwak, Erwin
11 Mémoli, Facundo
9 Gardner, Richard J.
9 Panyanak, Bancha
9 Savaré, Giuseppe
8 Ambrosio, Luigi
8 Cianchi, Andrea
8 Espínola García, Rafael
8 Gigli, Nicola
8 Jost, Jürgen
8 Le Gall, Jean-François
8 Nicolae, Adriana
8 Nitsch, Carlo
8 Sormani, Christina
8 Trombetti, Cristina
7 Alexander, Stephanie B.
7 Gronchi, Paolo
7 Ivanov, Aleksandr Olegovich
7 Ketterer, Christian
7 Kirk, William Arthur
7 Lytchak, Alexander
7 Mondino, Andrea
7 Sturm, Karl-Theodor
7 Tuzhilin, Alexey Avgustinovich
7 Zhao, Changjian
7 Zhou, Jiazu
6 Abbas, Mujahid
6 Cheung, Wingsum
6 Colbois, Bruno
6 Curien, Nicolas
6 Ivanov, Sergei Vladimirovich
6 Khatibzadeh, Hadi
6 Le Donne, Enrico
6 Lott, John
6 Martini, Horst
6 Maz’ya, Vladimir Gilelevich
6 Miermont, Grégory
6 Mitsuishi, Ayato
6 Naor, Assaf
6 Shioya, Takashi
6 Vîlcu, Costin
5 Bishop, Richard L.
5 Bobkov, Sergey Germanovich
5 Brandolini, Barbara
5 Campi, Stefano
5 Fernández-León, Aurora
5 Ferone, Vincenzo
5 Guijarro, Luis
5 Honda, Shouhei
5 Itoh, Jin-ichi
5 Kortchemski, Igor
5 Krym, Victor R.
5 Martínez-Pérez, Álvaro
5 Medková, Dagmar
5 Piątek, Bożena
5 Ritoré, Manuel
5 Rotman, Regina
5 Sabitov, Idzhad Khakovich
5 Saltan, Mustafa
5 Searle, Catherine
5 Selivanova, Svetlana V.
5 Wenger, Stefan
5 Winter, Anita
5 Xu, Wenxue
5 Yamaguchi, Takao
4 Addario-Berry, Louigi
4 Alvino, Angelo
4 Bertrand, Jérôme
4 Bettinelli, Jérémie L.
4 Burago, Dmitri
4 Dovgoshey, Oleksiy Alfredovich
4 Gallot, Sylvestre
4 Harvey, John Matthew
4 Katz, Mikhail G.
4 Kuwada, Kazumasa
4 Lange, Christian
4 Larotonda, Gabriel
4 Latrémolière, Frédéric
4 Le Gouic, Thibaut
4 Leonardi, Gian Paolo
4 López Acedo, Genaro
4 Nabutovsky, Alexander
4 Ohta, Shin-ichi
4 Ranjbar, Sajad
4 Richier, Loïc
4 Rouyer, Joël
4 Sabourau, Stéphane
4 Shen, Yibing
4 Troyanov, Marc
4 Uddin, Izhar
4 Verovic, Patrick
4 Wildrick, Kevin
4 Zamfirescu, Tudor I.
4 Zhang, Gaoyong
4 Zhang, Huichun
4 Zhao, Wei
3 Adiprasito, Karim Alexander
3 Allen, Brian Michael
...and 1,338 more Authors
all top 5

Cited in 295 Serials

45 Advances in Mathematics
35 Transactions of the American Mathematical Society
35 The Journal of Geometric Analysis
34 Journal of Mathematical Analysis and Applications
34 Geometriae Dedicata
34 Mathematische Zeitschrift
31 Proceedings of the American Mathematical Society
22 Journal of Functional Analysis
21 Topology and its Applications
21 Differential Geometry and its Applications
21 Calculus of Variations and Partial Differential Equations
20 Probability Theory and Related Fields
17 Duke Mathematical Journal
17 Journal of Mathematical Sciences (New York)
16 Mathematische Annalen
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Annals of Global Analysis and Geometry
15 Discrete & Computational Geometry
14 The Annals of Probability
14 Inventiones Mathematicae
12 Geometry & Topology
11 Israel Journal of Mathematics
11 Geometric and Functional Analysis. GAFA
11 Journal of Inequalities and Applications
11 Journal of Topology and Analysis
10 Mathematical Notes
10 Manuscripta Mathematica
10 Potential Analysis
10 St. Petersburg Mathematical Journal
10 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Communications in Mathematical Physics
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Revista Matemática Iberoamericana
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 Journal of the European Mathematical Society (JEMS)
9 Analysis and Geometry in Metric Spaces
8 Annales de l’Institut Fourier
8 Siberian Mathematical Journal
8 Tohoku Mathematical Journal. Second Series
8 Fixed Point Theory and Applications
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 European Journal of Combinatorics
7 Computational Geometry
7 Electronic Journal of Probability
7 Frontiers of Mathematics in China
6 Discrete Applied Mathematics
6 Journal of Geometry and Physics
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Archiv der Mathematik
6 Czechoslovak Mathematical Journal
6 Journal für die Reine und Angewandte Mathematik
6 Advances in Applied Mathematics
6 Turkish Journal of Mathematics
6 Discrete and Continuous Dynamical Systems
5 Moscow University Mathematics Bulletin
5 Stochastic Processes and their Applications
5 Vestnik St. Petersburg University. Mathematics
5 Russian Mathematics
5 Annals of Mathematics. Second Series
5 Sibirskie Èlektronnye Matematicheskie Izvestiya
5 Groups, Geometry, and Dynamics
5 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
4 Archive for Rational Mechanics and Analysis
4 Computers & Mathematics with Applications
4 Discrete Mathematics
4 Rocky Mountain Journal of Mathematics
4 Acta Mathematica
4 Journal of the Mathematical Society of Japan
4 Journal of Soviet Mathematics
4 Monatshefte für Mathematik
4 Numerical Functional Analysis and Optimization
4 Applied Mathematics Letters
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Foundations of Computational Mathematics
4 Proceedings of the Steklov Institute of Mathematics
4 Journal of Fixed Point Theory and Applications
4 Science China. Mathematics
3 Communications on Pure and Applied Mathematics
3 Beiträge zur Algebra und Geometrie
3 Applied Mathematics and Computation
3 Bulletin of the London Mathematical Society
3 Journal of Differential Equations
3 Journal of Geometry
3 Results in Mathematics
3 SIAM Journal on Control and Optimization
3 Acta Mathematica Hungarica
3 Science in China. Series A
3 SIAM Journal on Mathematical Analysis
3 Bulletin of the American Mathematical Society. New Series
3 The Journal of Analysis
3 Applied and Computational Harmonic Analysis
3 Fractals
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Abstract and Applied Analysis
3 Communications in Contemporary Mathematics
3 Lobachevskii Journal of Mathematics
3 Qualitative Theory of Dynamical Systems
3 Algebraic & Geometric Topology
3 Computational Methods and Function Theory
...and 195 more Serials
all top 5

Cited in 60 Fields

513 Differential geometry (53-XX)
200 Convex and discrete geometry (52-XX)
129 General topology (54-XX)
125 Probability theory and stochastic processes (60-XX)
122 Partial differential equations (35-XX)
119 Global analysis, analysis on manifolds (58-XX)
93 Calculus of variations and optimal control; optimization (49-XX)
91 Geometry (51-XX)
76 Combinatorics (05-XX)
73 Operator theory (47-XX)
72 Manifolds and cell complexes (57-XX)
70 Functional analysis (46-XX)
60 Measure and integration (28-XX)
60 Functions of a complex variable (30-XX)
44 Computer science (68-XX)
42 Real functions (26-XX)
39 Group theory and generalizations (20-XX)
37 Potential theory (31-XX)
33 Numerical analysis (65-XX)
32 Dynamical systems and ergodic theory (37-XX)
29 Topological groups, Lie groups (22-XX)
22 Operations research, mathematical programming (90-XX)
20 Algebraic topology (55-XX)
18 Several complex variables and analytic spaces (32-XX)
16 Statistics (62-XX)
14 Algebraic geometry (14-XX)
13 Relativity and gravitational theory (83-XX)
10 Quantum theory (81-XX)
9 Mechanics of particles and systems (70-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Biology and other natural sciences (92-XX)
9 Systems theory; control (93-XX)
8 History and biography (01-XX)
8 Approximations and expansions (41-XX)
8 Fluid mechanics (76-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Abstract harmonic analysis (43-XX)
7 Statistical mechanics, structure of matter (82-XX)
7 Information and communication theory, circuits (94-XX)
6 Ordinary differential equations (34-XX)
5 General and overarching topics; collections (00-XX)
5 Mathematical logic and foundations (03-XX)
5 Number theory (11-XX)
5 Mechanics of deformable solids (74-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Category theory; homological algebra (18-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Field theory and polynomials (12-XX)
3 Commutative algebra (13-XX)
3 Integral transforms, operational calculus (44-XX)
3 Integral equations (45-XX)
3 Optics, electromagnetic theory (78-XX)
2 General algebraic systems (08-XX)
2 Associative rings and algebras (16-XX)
2 Astronomy and astrophysics (85-XX)
2 Mathematics education (97-XX)
1 Nonassociative rings and algebras (17-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Geophysics (86-XX)

Citations by Year