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## Alexandrov, Victor A.

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 Author ID: alexandrov.victor-a Published as: Aleksandrov, V. A.; Alexandrov, Victor; Alexandrov, V. A.; Alexandrov, Victor A. Homepage: http://math.nsc.ru/~vaalex/ External Links: MGP · ORCID · arXiv · ResearchGate · Math-Net.Ru · dblp
 Documents Indexed: 61 Publications since 1984, including 7 Books Reviewing Activity: 262 Reviews
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#### Co-Authors

 48 single-authored 4 Reshetnyak, Yuriĭ Grigor’evich 4 Vershinin, Vladimir V. 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 S. 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 Reshetnyakh, Yu. G. 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
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#### Serials

 11 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 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Sibirskie Èlektronnye Matematicheskie Izvestiya
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#### Fields

 27 Convex and discrete geometry (52-XX) 16 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) 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 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

29 Publications have been cited 102 times in 78 Documents Cited by Year
Blaschke addition and convex polyhedra. Zbl 1133.52301
Alexandrov, Victor; Kopteva, Natalia; Kutateladze, S. S.
2005
An example of a flexible polyhedron with nonconstant volume in the spherical space. Zbl 0881.52007
Alexandrov, Victor
1997
Isometry of domains in $${\mathbb{R}}^ n$$ and relative isometry of their boundaries. II. Zbl 0604.53024
Aleksandrov, V. A.
1985
Flexible polyhedra in Minkowski 3-space. Zbl 1028.52013
Alexandrov, Victor
2003
Aleksej Vasil’evich Pogorelov (obituary). Zbl 1050.01509
Aleksandrov, V. A.; Arnol’d, V. I.; Borisenko, A. A.; et al.
2003
The Dehn invariants of the Bricard octahedra. Zbl 1231.52019
Alexandrov, Victor
2010
Uniqueness of domains with non-Jordan boundaries. Zbl 0847.57024
Aleksandrov, V. A.
1989
Calculus of variations. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie.) Zbl 1078.49001
Aleksandrov, V. A.; Egorov, A. A.
2000
A new example of a flexible polyhedron. Zbl 0879.51012
Aleksandrov, V. A.
1995
Remarks on Efimov’s theorem about differential tests of homeomorphism. Zbl 0758.58006
Alexandrov, V. A.
1991
Sufficient conditions for the extendibility of an $$n$$-th order flex of polyhedra. Zbl 0916.52005
Alexandrov, Victor
1998
Isometry of domains in $${\mathbb{R}}^ n$$ and relative isometry of their boundaries. Zbl 0576.53040
Aleksandrov, V. A.
1984
Algebra versus analysis in the theory of flexible polyhedra. Zbl 1220.52005
Alexandrov, Victor
2010
How one can crush a milk carton in such a way as to enlarge its volume. Zbl 0947.52012
Alexandrov, V. A.
2000
Implicit function theorem for systems of polynomial equations with vanishing Jacobian and its application to flexible polyhedra and frameworks. Zbl 0995.58003
Alexandrov, Victor
2001
Flexible suspensions with a hexagonal equator. Zbl 1259.52014
Alexandrov, Victor; Connelly, Robert
2011
Sabitov’s conjecture that volume is stationary under infinitesimal bending of a surface. Zbl 0715.53006
Aleksandrov, V. A.
1989
Estimation of the deformation of a strictly convex domain depending on variation of relative metric of its boundary. Zbl 0721.51014
Aleksandrov, V. A.
1990
On the isometry property of polyhedral domains whose boundaries are locally isometric in relative metrics. Zbl 0769.54038
Aleksandrov, V. A.
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 0757.34049
Aleksandrov, V. A.; Dairbekov, N. S.
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 0894.53043
Aleksandrov, V. A.
1992
Viktor Andreevich Toponogov (obituary). Zbl 1210.01023
Aleksandrov, V. A.; Borisenko, A. A.; Borisov, Yu F.; Burago, Yu D.; Vershinin, V. V.; et al.
2006
On domains uniquely determined by the relative metric of their boundary. Zbl 0636.53009
Aleksandrov, V. A.
1987
On Efimov’s theorem on differential tests for a homeomorphism. Zbl 0722.58007
Aleksandrov, V. A.
1991
New manifestations of the Darboux’s rotation and translation fields of a surface. Zbl 1222.53006
Alexandrov, Victor
2010
A sufficient condition for a polyhedron to be rigid. Zbl 1418.52007
Alexandrov, Victor
2019
Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex. Zbl 1439.52022
Alexandrov, Victor
2020
An analogue of a theorem of van der Waerden, and its application to two-distance preserving mappings. Zbl 1389.52014
Alexandrov, Victor
2016
Why there is no an existence theorem for a convex polytope with prescribed directions and perimeters of the faces? Zbl 1392.52007
Alexandrov, Victor
2018
Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex. Zbl 1439.52022
Alexandrov, Victor
2020
A sufficient condition for a polyhedron to be rigid. Zbl 1418.52007
Alexandrov, Victor
2019
Why there is no an existence theorem for a convex polytope with prescribed directions and perimeters of the faces? Zbl 1392.52007
Alexandrov, Victor
2018
An analogue of a theorem of van der Waerden, and its application to two-distance preserving mappings. Zbl 1389.52014
Alexandrov, Victor
2016
Flexible suspensions with a hexagonal equator. Zbl 1259.52014
Alexandrov, Victor; Connelly, Robert
2011
The Dehn invariants of the Bricard octahedra. Zbl 1231.52019
Alexandrov, Victor
2010
Algebra versus analysis in the theory of flexible polyhedra. Zbl 1220.52005
Alexandrov, Victor
2010
New manifestations of the Darboux’s rotation and translation fields of a surface. Zbl 1222.53006
Alexandrov, Victor
2010
Viktor Andreevich Toponogov (obituary). Zbl 1210.01023
Aleksandrov, V. A.; Borisenko, A. A.; Borisov, Yu F.; Burago, Yu D.; Vershinin, V. V.; et al.
2006
Blaschke addition and convex polyhedra. Zbl 1133.52301
Alexandrov, Victor; Kopteva, Natalia; Kutateladze, S. S.
2005
Flexible polyhedra in Minkowski 3-space. Zbl 1028.52013
Alexandrov, Victor
2003
Aleksej Vasil’evich Pogorelov (obituary). Zbl 1050.01509
Aleksandrov, V. A.; Arnol&rsquo;d, V. I.; Borisenko, A. A.; et al.
2003
Implicit function theorem for systems of polynomial equations with vanishing Jacobian and its application to flexible polyhedra and frameworks. Zbl 0995.58003
Alexandrov, Victor
2001
Calculus of variations. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie.) Zbl 1078.49001
Aleksandrov, V. A.; Egorov, A. A.
2000
How one can crush a milk carton in such a way as to enlarge its volume. Zbl 0947.52012
Alexandrov, V. A.
2000
Sufficient conditions for the extendibility of an $$n$$-th order flex of polyhedra. Zbl 0916.52005
Alexandrov, Victor
1998
An example of a flexible polyhedron with nonconstant volume in the spherical space. Zbl 0881.52007
Alexandrov, Victor
1997
A new example of a flexible polyhedron. Zbl 0879.51012
Aleksandrov, V. A.
1995
On the isometry property of polyhedral domains whose boundaries are locally isometric in relative metrics. Zbl 0769.54038
Aleksandrov, V. A.
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 0757.34049
Aleksandrov, V. A.; Dairbekov, N. S.
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 0894.53043
Aleksandrov, V. A.
1992
Remarks on Efimov’s theorem about differential tests of homeomorphism. Zbl 0758.58006
Alexandrov, V. A.
1991
On Efimov’s theorem on differential tests for a homeomorphism. Zbl 0722.58007
Aleksandrov, V. A.
1991
Estimation of the deformation of a strictly convex domain depending on variation of relative metric of its boundary. Zbl 0721.51014
Aleksandrov, V. A.
1990
Uniqueness of domains with non-Jordan boundaries. Zbl 0847.57024
Aleksandrov, V. A.
1989
Sabitov’s conjecture that volume is stationary under infinitesimal bending of a surface. Zbl 0715.53006
Aleksandrov, V. A.
1989
On domains uniquely determined by the relative metric of their boundary. Zbl 0636.53009
Aleksandrov, V. A.
1987
Isometry of domains in $${\mathbb{R}}^ n$$ and relative isometry of their boundaries. II. Zbl 0604.53024
Aleksandrov, V. A.
1985
Isometry of domains in $${\mathbb{R}}^ n$$ and relative isometry of their boundaries. Zbl 0576.53040
Aleksandrov, V. A.
1984
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#### Cited by 85 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 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 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 Constantini, Adrian 1 Demaine, Erik D. 1 Dembo, Amir 1 Dittrich, Bianca 1 Eckmann, Jean-Pierre 1 Emms, Paul 1 Fillastre, François 1 Gardner, Richard J. 1 Ge, Shuzhi Sam 1 Gorchinskiĭ, Sergeĭ Olegovich 1 Haberman, Steven 1 Honvault, Pascal 1 Ignashchenko, Leonid S. 1 Ivanov, Aleksandr Olegovich 1 Kane, Daniel M. 1 Kerr, Megan M. 1 Khimshiashvili, Giorgi 1 Kiazyk, Stephen 1 Kovalev, Mikhail D. 1 Kutateladze, Semën Samsonovich 1 Lubiw, Anna 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 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 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 1 Zhang, Weinian
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#### Cited in 47 Serials

 7 Siberian Mathematical Journal 5 Beiträge zur Algebra und Geometrie 5 Proceedings of the Steklov Institute of Mathematics 4 Discrete & Computational Geometry 3 Journal of Geometry 3 Journal of Mathematical Sciences (New York) 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 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 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 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 Historia Mathematica 1 Journal of Convex Analysis 1 Sbornik: Mathematics 1 Doklady Mathematics 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
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#### Cited in 37 Fields

 41 Convex and discrete geometry (52-XX) 23 Differential geometry (53-XX) 15 Geometry (51-XX) 7 Algebraic geometry (14-XX) 6 Combinatorics (05-XX) 4 General topology (54-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Manifolds and cell complexes (57-XX) 3 Operations research, mathematical programming (90-XX) 2 Category theory; homological algebra (18-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-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 Algebraic topology (55-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)