Edit Profile (opens in new tab) Alexandrov, Victor A. Compute Distance To: Compute Author ID: alexandrov.victor-a Published as: Aleksandrov, V. A.; Alexandrov, Victor; Alexandrov, V. A.; Alexandrov, Victor A. more...less Homepage: http://math.nsc.ru/~vaalex/ External Links: MGP · ORCID · arXiv · ResearchGate · Math-Net.Ru · dblp Documents Indexed: 61 Publications since 1984, including 5 Books 2 Contributions as Editor Reviewing Activity: 269 Reviews Co-Authors: 50 Co-Authors with 13 Joint Publications 1,622 Co-Co-Authors all top 5 Co-Authors 50 single-authored 5 Reshetnyak, Yuriĭ Grigor’evich 4 Vershinin, Vladimir V. 3 Borisenko, Aleksandr Andreevich 3 Sabitov, Idzhad Khakovich 2 Borisov, Yuriĭ Fedorovich 2 Bukhshtaber, Viktor Matveevich 2 Burago, Yuriĭ Dmitrievich 2 Dolbilin, Nikolaĭ Petrovich 2 Kutateladze, Semën Samsonovich 2 Novikov, Sergeĭ Petrovich 2 2 Vesnin, Andrei Yu. 1 Aminov, Yurii Akhmetovich 1 Arnol’d, Vladimir Igorevich 1 Beklemishev, Lev D. 1 Beresmovskiĭ, V. N. 1 Connelly, Robert 1 Dairbekov, Nurlan Slyamkhanovich 1 Egorov, Aleksandr Anatol’evich 1 Erokhovets, Nikolaĭ Yur’evich 1 Fomenko, Valentin Trofimovich 1 Gaifullin, Alexander A. 1 Gol’dshteyn, V. M. 1 Kononenko, L. J. 1 Konylov, Ya. A. 1 Kopteva, Natalia Viktorovna 1 Kopycov, A. P. 1 Kovalev, Mikhail D. 1 Kusraev, Anatoly Georgievich 1 Kutatetadse, S. S. 1 Kysmunych, A. V. 1 Ludnik, V. G. 1 Makarov, V. S. 1 Orlov, Dmitri O. 1 Parshin, Alexei N. 1 Rodionov, Evgeniĭ Dmitrievich 1 Romanov, Aleksandr Sergeevich 1 Rylov, A. I. 1 Sadovnichiĭ, Viktor Antonovich 1 Shchepin, Evgenij V. 1 Sheĭnman, Oleg Karlovich 1 Slavskiĭ, Viktor Vladimirovich 1 Stachel, Hellmuth 1 Tarusov, V. B. 1 Treshchev, Dmitriĭ Valer’evich 1 Treskov, Sergeĭ Andreevich 1 Valiev, Mars K. 1 Vasil’ev, Viktor Anatol’evich 1 Verner, A. L. 1 Vodop’yanov, Sergeĭ Konstantinovich 1 Volokitin, Evgeniĭ Pavlovich all top 5 Serials 12 Siberian Mathematical Journal 5 Russian Mathematical Surveys 5 Beiträge zur Algebra und Geometrie 4 Journal of Geometry 4 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Geometriae Dedicata 2 Journal of Natural Science of Heilongjiang University 2 Aequationes Mathematicae 2 Mathematics of the USSR, Sbornik 2 Sorosovskiĭ Obrazovatel’nyĭ Zhurnal 1 Periodica Mathematica Hungarica 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Illinois Journal of Mathematics 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 European Journal of Combinatorics 1 Notices of the American Mathematical Society 1 Matematicheskiĭ Sbornik 1 New Zealand Journal of Mathematics 1 Trudy Seminara po Vektornomu i Tenzornomu Analizu 1 Journal for Geometry and Graphics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Sibirskie Èlektronnye Matematicheskie Izvestiya all top 5 Fields 28 Convex and discrete geometry (52-XX) 17 Geometry (51-XX) 16 Differential geometry (53-XX) 8 History and biography (01-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 General topology (54-XX) 3 Real functions (26-XX) 2 Algebraic geometry (14-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 111 times in 87 Documents Cited by ▼ Year ▼ Blaschke addition and convex polyhedra. Zbl 1133.52301Alexandrov, Victor; Kopteva, Natalia; Kutateladze, S. S. 24 2005 An example of a flexible polyhedron with nonconstant volume in the spherical space. Zbl 0881.52007Alexandrov, Victor 10 1997 Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. II. Zbl 0604.53024Aleksandrov, V. A. 8 1985 Flexible polyhedra in Minkowski 3-space. Zbl 1028.52013Alexandrov, Victor 7 2003 The Dehn invariants of the Bricard octahedra. Zbl 1231.52019Alexandrov, Victor 6 2010 Aleksej Vasil’evich Pogorelov (obituary). Zbl 1050.01509Aleksandrov, V. A.; Arnol’d, V. I.; Borisenko, A. A.; et al. 6 2003 Uniqueness of domains with non-Jordan boundaries. Zbl 0847.57024Aleksandrov, V. A. 5 1989 Calculus of variations. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie.) Zbl 1078.49001Aleksandrov, V. A.; Egorov, A. A. 4 2000 A new example of a flexible polyhedron. Zbl 0879.51012Aleksandrov, V. A. 4 1995 Remarks on Efimov’s theorem about differential tests of homeomorphism. Zbl 0758.58006Alexandrov, V. A. 3 1991 Algebra versus analysis in the theory of flexible polyhedra. Zbl 1220.52005Alexandrov, Victor 3 2010 Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. Zbl 0576.53040Aleksandrov, V. A. 3 1984 Sufficient conditions for the extendibility of an \(n\)-th order flex of polyhedra. Zbl 0916.52005Alexandrov, Victor 3 1998 Sabitov’s conjecture that volume is stationary under infinitesimal bending of a surface. Zbl 0715.53006Aleksandrov, V. A. 2 1989 How one can crush a milk carton in such a way as to enlarge its volume. Zbl 0947.52012Alexandrov, V. A. 2 2000 Estimation of the deformation of a strictly convex domain depending on variation of relative metric of its boundary. Zbl 0721.51014Aleksandrov, V. A. 2 1990 On the isometry property of polyhedral domains whose boundaries are locally isometric in relative metrics. Zbl 0769.54038Aleksandrov, V. A. 2 1992 Flexible suspensions with a hexagonal equator. Zbl 1259.52014Alexandrov, Victor; Connelly, Robert 2 2011 Proceedings of the conference “Geometry and applications” dedicated to the 70th anniversary of Professor Victor Toponogov, Novosibirsk, Russia, March 13–16, 2000. (Trudy konferentsii “Geometriya i prilozheniya” posvyashchennoj 70-letiyu V. A. Toponogova, Novosibirsk, Russia, 13–16 marta 2000.) Zbl 0966.00048 2 2001 Implicit function theorem for systems of polynomial equations with vanishing Jacobian and its application to flexible polyhedra and frameworks. Zbl 0995.58003Alexandrov, Victor 2 2001 Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex. Zbl 1439.52022Alexandrov, Victor 2 2020 Remarks on the theorem of M. and S. Rădulescu about an initial value problem for the differential equation \(x^{(n)}=f(t,x)\). Zbl 0757.34049Aleksandrov, V. A.; Dairbekov, N. S. 1 1992 On interrelation between the problem of unique determination of a domain in \(\mathbb{R}^n\) and a problem of recovery of a locally Euclidean metric. Zbl 0894.53043Aleksandrov, V. A. 1 1992 Why there is no an existence theorem for a convex polytope with prescribed directions and perimeters of the faces? Zbl 1392.52007Alexandrov, Victor 1 2018 On Efimov’s theorem on differential tests for a homeomorphism. Zbl 0722.58007Aleksandrov, V. A. 1 1991 Viktor Andreevich Toponogov (obituary). Zbl 1210.01023Aleksandrov, V. A.; Borisenko, A. A.; Borisov, Yu F.; Burago, Yu D.; Vershinin, V. V.; et al. 1 2006 New manifestations of the Darboux’s rotation and translation fields of a surface. Zbl 1222.53006Alexandrov, Victor 1 2010 An analogue of a theorem of van der Waerden, and its application to two-distance preserving mappings. Zbl 1389.52014Alexandrov, Victor 1 2016 A sufficient condition for a polyhedron to be rigid. Zbl 1418.52007Alexandrov, Victor 1 2019 On domains uniquely determined by the relative metric of their boundary. Zbl 0636.53009Aleksandrov, V. A. 1 1987 Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex. Zbl 1439.52022Alexandrov, Victor 2 2020 A sufficient condition for a polyhedron to be rigid. Zbl 1418.52007Alexandrov, Victor 1 2019 Why there is no an existence theorem for a convex polytope with prescribed directions and perimeters of the faces? Zbl 1392.52007Alexandrov, Victor 1 2018 An analogue of a theorem of van der Waerden, and its application to two-distance preserving mappings. Zbl 1389.52014Alexandrov, Victor 1 2016 Flexible suspensions with a hexagonal equator. Zbl 1259.52014Alexandrov, Victor; Connelly, Robert 2 2011 The Dehn invariants of the Bricard octahedra. Zbl 1231.52019Alexandrov, Victor 6 2010 Algebra versus analysis in the theory of flexible polyhedra. Zbl 1220.52005Alexandrov, Victor 3 2010 New manifestations of the Darboux’s rotation and translation fields of a surface. Zbl 1222.53006Alexandrov, Victor 1 2010 Viktor Andreevich Toponogov (obituary). Zbl 1210.01023Aleksandrov, V. A.; Borisenko, A. A.; Borisov, Yu F.; Burago, Yu D.; Vershinin, V. V.; et al. 1 2006 Blaschke addition and convex polyhedra. Zbl 1133.52301Alexandrov, Victor; Kopteva, Natalia; Kutateladze, S. S. 24 2005 Flexible polyhedra in Minkowski 3-space. Zbl 1028.52013Alexandrov, Victor 7 2003 Aleksej Vasil’evich Pogorelov (obituary). Zbl 1050.01509Aleksandrov, V. A.; Arnol’d, V. I.; Borisenko, A. A.; et al. 6 2003 Proceedings of the conference “Geometry and applications” dedicated to the 70th anniversary of Professor Victor Toponogov, Novosibirsk, Russia, March 13–16, 2000. (Trudy konferentsii “Geometriya i prilozheniya” posvyashchennoj 70-letiyu V. A. Toponogova, Novosibirsk, Russia, 13–16 marta 2000.) Zbl 0966.00048 2 2001 Implicit function theorem for systems of polynomial equations with vanishing Jacobian and its application to flexible polyhedra and frameworks. Zbl 0995.58003Alexandrov, Victor 2 2001 Calculus of variations. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie.) Zbl 1078.49001Aleksandrov, V. A.; Egorov, A. A. 4 2000 How one can crush a milk carton in such a way as to enlarge its volume. Zbl 0947.52012Alexandrov, V. A. 2 2000 Sufficient conditions for the extendibility of an \(n\)-th order flex of polyhedra. Zbl 0916.52005Alexandrov, Victor 3 1998 An example of a flexible polyhedron with nonconstant volume in the spherical space. Zbl 0881.52007Alexandrov, Victor 10 1997 A new example of a flexible polyhedron. Zbl 0879.51012Aleksandrov, V. A. 4 1995 On the isometry property of polyhedral domains whose boundaries are locally isometric in relative metrics. Zbl 0769.54038Aleksandrov, V. A. 2 1992 Remarks on the theorem of M. and S. Rădulescu about an initial value problem for the differential equation \(x^{(n)}=f(t,x)\). Zbl 0757.34049Aleksandrov, V. A.; Dairbekov, N. S. 1 1992 On interrelation between the problem of unique determination of a domain in \(\mathbb{R}^n\) and a problem of recovery of a locally Euclidean metric. Zbl 0894.53043Aleksandrov, V. A. 1 1992 Remarks on Efimov’s theorem about differential tests of homeomorphism. Zbl 0758.58006Alexandrov, V. A. 3 1991 On Efimov’s theorem on differential tests for a homeomorphism. Zbl 0722.58007Aleksandrov, V. A. 1 1991 Estimation of the deformation of a strictly convex domain depending on variation of relative metric of its boundary. Zbl 0721.51014Aleksandrov, V. A. 2 1990 Uniqueness of domains with non-Jordan boundaries. Zbl 0847.57024Aleksandrov, V. A. 5 1989 Sabitov’s conjecture that volume is stationary under infinitesimal bending of a surface. Zbl 0715.53006Aleksandrov, V. A. 2 1989 On domains uniquely determined by the relative metric of their boundary. Zbl 0636.53009Aleksandrov, V. A. 1 1987 Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. II. Zbl 0604.53024Aleksandrov, V. A. 8 1985 Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. Zbl 0576.53040Aleksandrov, V. A. 3 1984 all cited Publications top 5 cited Publications all top 5 Cited by 102 Authors 11 Alexandrov, Victor A. 5 Gaifullin, Alexander A. 4 Kopylov, Anatoliĭ Pavlovich 2 Gallet, Matteo 2 Grasegger, Georg 2 Huybrechts, Daniel 2 Korobkov, Mikhail V. 2 Kutateladze, Semën Samsonovich 2 Legerský, Jan 2 Orlov, Dmitri O. 2 Reddy, Junuthula Narasimha 2 Schicho, Josef 2 Schlenker, Jean-Marc 2 Schulze, Bernd 2 Shtogrin, Mikhail Ivanovich 2 Slutskiy, Dmitriy A. 2 Surana, Karan S. 2 Tenpas, P. W. 2 Whiteley, Walter John 2 Zhang, Lizhao 1 Agazzi, Andrea 1 Akiyama, Jin 1 Akopyan, Arseniy V. 1 Aleksandrov, Igor’ Alexandrovich 1 Allu, Srikanth 1 Arroyo, Marino 1 Asante, Seth K. 1 Barbot, Thierry 1 Blanc, Anthony 1 Bonsante, Francesco 1 Borovikova, M. K. 1 Bowers, John C. 1 Bowers, Philip L. 1 Chen, Wei 1 Constantini, Adrian 1 Demaine, Erik D. 1 Dembo, Amir 1 Dittrich, Bianca 1 Eckmann, Jean-Pierre 1 Emms, Paul 1 Engel, Konrad 1 Fillastre, François 1 Gardner, Richard J. 1 Ge, Shuzhi Sam 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Gorkavyĭ, Vasyl A. 1 Gortler, Steven J. 1 Gu, Xianfeng 1 Guo, Yang 1 Haberman, Steven 1 Holmes-Cerfon, Miranda C. 1 Honvault, Pascal 1 Ignashchenko, Leonid S. 1 Ivanov, Aleksandr Olegovich 1 Kalinin, Dmytro 1 Kane, Daniel M. 1 Kerr, Megan M. 1 Khimshiashvili, Giorgi 1 Kiazyk, Stephen 1 Kitson, Derek 1 Kovalev, Mikhail D. 1 Laasch, Bastian 1 Lei, Na 1 Liu, Jiakun 1 Lubiw, Anna 1 Luo, Zhongxuan 1 Mangoubi, Oren 1 Maquera, Carlos 1 Martinez-Maure, Yves 1 Morozov, Egor Aleksandrovich 1 Murphey, Robert A. 1 Musin, Oleg R. 1 Najdanović, Marija S. 1 Nieper-Wißkirchen, Marc Arnold 1 Padua-Argüelles, José 1 Pambuccian, Victor V. 1 Parapatits, Lukas 1 Petrunin, Anton Mikhailovich 1 Plakhov, A. Yu 1 Power, Stephen Charles 1 Pratt, Kevin 1 Price, Gregory N. 1 Rabanal, Roland 1 Rančić, Svetozar R. 1 Sabitov, Idzhad Khakovich 1 Sato, Ikuro 1 Schuster, Franz E. 1 Seong, Hyunwoo 1 Souam, Rabah 1 Srivastava, Tanya Kaushal 1 Stellari, Paolo 1 Theran, Louis 1 Tian, Dagang 1 Tuzhilin, Alexey Avgustinovich 1 Uryasev, Stan 1 Velimirović, Ljubica S. 1 Zabarankin, Michael 1 Zachos, Anastasios N. 1 Zamfirescu, Tudor I. 1 Zhang, Kuan ...and 2 more Authors all top 5 Cited in 53 Serials 8 Siberian Mathematical Journal 5 Beiträge zur Algebra und Geometrie 5 Proceedings of the Steklov Institute of Mathematics 4 Discrete & Computational Geometry 4 Journal of Mathematical Sciences (New York) 3 Journal of Geometry 2 Advances in Mathematics 2 Geometriae Dedicata 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 European Journal of Combinatorics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Nonlinearity 1 Russian Mathematical Surveys 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Compositio Mathematica 1 Publications Mathématiques 1 International Journal for Numerical Methods in Engineering 1 Journal of Differential Equations 1 Mathematische Annalen 1 Naval Research Logistics 1 Transactions of the Moscow Mathematical Society 1 Graphs and Combinatorics 1 Computational Mechanics 1 SIAM Journal on Discrete Mathematics 1 The Annals of Applied Probability 1 Differential Geometry and its Applications 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 Historia Mathematica 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Convex Analysis 1 Sbornik: Mathematics 1 Doklady Mathematics 1 Journal for Geometry and Graphics 1 Lobachevskii Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 ASTIN Bulletin 1 Contributions to Discrete Mathematics 1 Journal of Applied and Industrial Mathematics 1 Journal of Siberian Federal University. Mathematics & Physics all top 5 Cited in 41 Fields 46 Convex and discrete geometry (52-XX) 25 Differential geometry (53-XX) 16 Geometry (51-XX) 7 Combinatorics (05-XX) 7 Algebraic geometry (14-XX) 4 History and biography (01-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Quantum theory (81-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Category theory; homological algebra (18-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year