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Alexandrov, Victor A.

Author ID: alexandrov.victor-a Recent zbMATH articles by "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
all top 5

Co-Authors

54 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 Krotov, Dmitry
2 Kutateladze, Semën Samsonovich
2 Losev, Andrei S.
2 Lysov, Vyacheslav
2 Novikov, Sergeĭ Petrovich
2
2 Vesnin, Andrei Yu.
2 Volokitin, Evgeniĭ Pavlovich
1 Aleksandrova, Nadezhda I.
1 Aminov, Yurii Akhmetovich
1 Arnol’d, Vladimir Igorevich
1 Beklemishev, Lev D.
1 Belonogov, Vyacheslav Aleksandrovich
1 Beresmovskiĭ, V. N.
1 Connelly, Robert
1 Dairbekov, Nurlan Slyamkhanovich
1 Egorov, Aleksandr Anatol’evich
1 Erokhovets, Nikolaĭ Yur’evich
1 Esquivel-Flores, Oscar A.
1 Fomenko, Valentin Trofimovich
1 Gaifullin, Alexander A.
1 Gol’dshteyn, V. M.
1 Ivanovska, Sofiya
1 Karaivanova, Aneta
1 Kononenko, L. J.
1 Konylov, Ya. A.
1 Kopteva, Natalia Viktorovna
1 Kopycov, A. P.
1 Kovalëv, Mikhail Dmitrievich
1 Kusraev, Anatoliĭ Georgievich
1 Kutatetadse, S. S.
1 Kysmunych, A. V.
1 Ludnik, V. G.
1 Makarov, V. S.
1 Orlov, Dmitri O.
1 Parshin, Alekseĭ Nikolaevich
1 Rodionov, Evgeniĭ Dmitrievich
1 Romanov, Aleksandr Sergeevich
1 Rylov, A. I.
1 Sadovnichiĭ, Viktor Antonovich
1 Shchepin, Evgeniĭ Vital’evich
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

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 135 times in 106 Documents Cited by Year
Blaschke addition and convex polyhedra. Zbl 1133.52301
Alexandrov, Victor; Kopteva, Natalia; Kutateladze, S. S.
31
2005
An example of a flexible polyhedron with nonconstant volume in the spherical space. Zbl 0881.52007
Alexandrov, Victor
10
1997
Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. II. Zbl 0604.53024
Aleksandrov, V. A.
8
1985
Aleksej Vasil’evich Pogorelov (obituary). Zbl 1050.01509
Aleksandrov, V. A.; Arnol’d, V. I.; Borisenko, A. A.; et al.
7
2003
Flexible polyhedra in Minkowski 3-space. Zbl 1028.52013
Alexandrov, Victor
7
2003
The Dehn invariants of the Bricard octahedra. Zbl 1231.52019
Alexandrov, Victor
6
2010
Uniqueness of domains with non-Jordan boundaries. Zbl 0847.57024
Aleksandrov, V. A.
5
1989
A new example of a flexible polyhedron. Zbl 0879.51012
Aleksandrov, V. A.
5
1995
On the total mean curvature of a nonrigid surface. Zbl 1224.53004
Alexandrov, Victor A.
5
2009
Calculus of variations. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie.) Zbl 1078.49001
Aleksandrov, V. A.; Egorov, A. A.
4
2000
Flexible suspensions with a hexagonal equator. Zbl 1259.52014
Alexandrov, Victor; Connelly, Robert
4
2011
Remarks on Efimov’s theorem about differential tests of homeomorphism. Zbl 0758.58006
Alexandrov, V. A.
3
1991
Sufficient conditions for the extendibility of an \(n\)-th order flex of polyhedra. Zbl 0916.52005
Alexandrov, Victor
3
1998
On the isometry property of polyhedral domains whose boundaries are locally isometric in relative metrics. Zbl 0769.54038
Aleksandrov, V. A.
3
1992
Algebra versus analysis in the theory of flexible polyhedra. Zbl 1220.52005
Alexandrov, Victor
3
2010
Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. Zbl 0576.53040
Aleksandrov, V. A.
3
1984
Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex. Zbl 1439.52022
Alexandrov, Victor
3
2020
On the preconditioned quasi-Monte Carlo algorithm for matrix computations. Zbl 07227062
Alexandrov, V.; Esquivel-Flores, O.; Ivanovska, S.; Karaivanova, A.
3
2015
How one can crush a milk carton in such a way as to enlarge its volume. Zbl 0947.52012
Alexandrov, V. A.
2
2000
Remarks to Sabitov’s hypothesis on the stationarity of volume in the case of an infinitesimal bending of a surface. Zbl 0687.53007
Aleksandrov, V. A.
2
1989
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 0995.58003
Alexandrov, Victor
2
2001
Sabitov’s conjecture that volume is stationary under infinitesimal bending of a surface. Zbl 0715.53006
Aleksandrov, V. A.
2
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.
2
1990
New manifestations of the Darboux’s rotation and translation fields of a surface. Zbl 1222.53006
Alexandrov, Victor
2
2010
How to decide whether two convex octahedra are affinely equivalent using their natural developments only. Zbl 1497.52017
Alexandrov, Victor
2
2022
A sufficient condition for a polyhedron to be rigid. Zbl 1418.52007
Alexandrov, Victor
2
2019
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.
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 0894.53043
Aleksandrov, V. A.
1
1992
Why there is no an existence theorem for a convex polytope with prescribed directions and perimeters of the faces? Zbl 1392.52007
Alexandrov, Victor
1
2018
An analogue of a theorem of van der Waerden, and its application to two-distance preserving mappings. Zbl 1389.52014
Alexandrov, Victor
1
2016
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
On the Gale-Nikaidô-Inada fundamental theorem on univalence of mappings. Zbl 0883.26008
Aleksandrov, V. A.
1
1994
On Efimov’s theorem on differential tests for a homeomorphism. Zbl 0722.58007
Aleksandrov, V. A.
1
1991
On domains uniquely determined by the relative metric of their boundary. Zbl 0636.53009
Aleksandrov, V. A.
1
1987
Obituary: Vladimir Kuz’ mich Ionin. Zbl 1329.01049
Aleksandrov, V. A.; Belonogov, V. A.; Beresmovskiĭ, V. N.; Borisenko, A. A.; Valiev, M. K.; Vesnin, A. Yu.; Vershinin, V. V.; Vodopyanov, S. K.; Volokitin, E. P.; Gol’dshteyn, V. M.; Ludnik, V. G.; Kononenko, L. J.; Kopycov, A. P.; Konylov, Ya. A.; Kysmunych, A. V.; Kusraev, A. G.; Kutatetadse, S. S.; Reshetnyakh, Yu. G.; Rodyonov, E. D.; Romanov, A. S.; Rylov, A. I.; Sabitov, I. Kh.; Slavskiĭ, V. V.; Tarusov, V. B.; Treskov, S. A.
1
2014
Recognition of affine-equivalent polyhedra by their natural developments. Zbl 1521.83009
Alexandrov, V. A.
1
2023
Recognition of affine-equivalent polyhedra by their natural developments. Zbl 1521.83009
Alexandrov, V. A.
1
2023
How to decide whether two convex octahedra are affinely equivalent using their natural developments only. Zbl 1497.52017
Alexandrov, Victor
2
2022
Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex. Zbl 1439.52022
Alexandrov, Victor
3
2020
A sufficient condition for a polyhedron to be rigid. Zbl 1418.52007
Alexandrov, Victor
2
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
1
2018
An analogue of a theorem of van der Waerden, and its application to two-distance preserving mappings. Zbl 1389.52014
Alexandrov, Victor
1
2016
On the preconditioned quasi-Monte Carlo algorithm for matrix computations. Zbl 07227062
Alexandrov, V.; Esquivel-Flores, O.; Ivanovska, S.; Karaivanova, A.
3
2015
Obituary: Vladimir Kuz’ mich Ionin. Zbl 1329.01049
Aleksandrov, V. A.; Belonogov, V. A.; Beresmovskiĭ, V. N.; Borisenko, A. A.; Valiev, M. K.; Vesnin, A. Yu.; Vershinin, V. V.; Vodopyanov, S. K.; Volokitin, E. P.; Gol’dshteyn, V. M.; Ludnik, V. G.; Kononenko, L. J.; Kopycov, A. P.; Konylov, Ya. A.; Kysmunych, A. V.; Kusraev, A. G.; Kutatetadse, S. S.; Reshetnyakh, Yu. G.; Rodyonov, E. D.; Romanov, A. S.; Rylov, A. I.; Sabitov, I. Kh.; Slavskiĭ, V. V.; Tarusov, V. B.; Treskov, S. A.
1
2014
Flexible suspensions with a hexagonal equator. Zbl 1259.52014
Alexandrov, Victor; Connelly, Robert
4
2011
The Dehn invariants of the Bricard octahedra. Zbl 1231.52019
Alexandrov, Victor
6
2010
Algebra versus analysis in the theory of flexible polyhedra. Zbl 1220.52005
Alexandrov, Victor
3
2010
New manifestations of the Darboux’s rotation and translation fields of a surface. Zbl 1222.53006
Alexandrov, Victor
2
2010
On the total mean curvature of a nonrigid surface. Zbl 1224.53004
Alexandrov, Victor A.
5
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
Blaschke addition and convex polyhedra. Zbl 1133.52301
Alexandrov, Victor; Kopteva, Natalia; Kutateladze, S. S.
31
2005
Aleksej Vasil’evich Pogorelov (obituary). Zbl 1050.01509
Aleksandrov, V. A.; Arnol’d, V. I.; Borisenko, A. A.; et al.
7
2003
Flexible polyhedra in Minkowski 3-space. Zbl 1028.52013
Alexandrov, Victor
7
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 0995.58003
Alexandrov, Victor
2
2001
Calculus of variations. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie.) Zbl 1078.49001
Aleksandrov, V. A.; Egorov, A. A.
4
2000
How one can crush a milk carton in such a way as to enlarge its volume. Zbl 0947.52012
Alexandrov, V. A.
2
2000
Sufficient conditions for the extendibility of an \(n\)-th order flex of polyhedra. Zbl 0916.52005
Alexandrov, Victor
3
1998
An example of a flexible polyhedron with nonconstant volume in the spherical space. Zbl 0881.52007
Alexandrov, Victor
10
1997
A new example of a flexible polyhedron. Zbl 0879.51012
Aleksandrov, V. A.
5
1995
On the Gale-Nikaidô-Inada fundamental theorem on univalence of mappings. Zbl 0883.26008
Aleksandrov, V. A.
1
1994
On the isometry property of polyhedral domains whose boundaries are locally isometric in relative metrics. Zbl 0769.54038
Aleksandrov, V. A.
3
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.
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 0894.53043
Aleksandrov, V. A.
1
1992
Remarks on Efimov’s theorem about differential tests of homeomorphism. Zbl 0758.58006
Alexandrov, V. A.
3
1991
On Efimov’s theorem on differential tests for a homeomorphism. Zbl 0722.58007
Aleksandrov, V. A.
1
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.
2
1990
Uniqueness of domains with non-Jordan boundaries. Zbl 0847.57024
Aleksandrov, V. A.
5
1989
Remarks to Sabitov’s hypothesis on the stationarity of volume in the case of an infinitesimal bending of a surface. Zbl 0687.53007
Aleksandrov, V. A.
2
1989
Sabitov’s conjecture that volume is stationary under infinitesimal bending of a surface. Zbl 0715.53006
Aleksandrov, V. A.
2
1989
On domains uniquely determined by the relative metric of their boundary. Zbl 0636.53009
Aleksandrov, V. A.
1
1987
Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. II. Zbl 0604.53024
Aleksandrov, V. A.
8
1985
Isometry of domains in \({\mathbb{R}}^ n\) and relative isometry of their boundaries. Zbl 0576.53040
Aleksandrov, V. A.
3
1984
all top 5

Cited by 126 Authors

11 Alexandrov, Victor A.
5 Gaifullin, Alexander A.
4 Kopylov, Anatoliĭ Pavlovich
4 Velimirović, Ljubica S.
3 Ćirić, Marija S.
3 Gallet, Matteo
3 Grasegger, Georg
3 Legerský, Jan
3 Sabitov, Idzhad Khakovich
3 Schicho, Josef
2 Aleksandrov, Igor’ Aleksandrovich
2 Gutierrez, Carlos
2 Huybrechts, Daniel
2 Kutateladze, Semën Samsonovich
2 Orlov, Dmitri O.
2 Reddy, Junuthula Narasimha
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 Allu, Srikanth
1 Arroyo, Marino
1 Asante, Seth K.
1 Banchoff, Thomas F.
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 Cvetković, Milica D.
1 Demaine, Erik D.
1 Dembo, Amir
1 Dittrich, Bianca
1 Doehrman, Thomas
1 Eckmann, Jean-Pierre
1 Emms, Paul
1 Engel, Konrad
1 Fillastre, François
1 Fu, Lie
1 Gardner, Richard J.
1 Ge, Shuzhi Sam
1 Glickenstein, David
1 Gorchinskiĭ, Sergeĭ Olegovich
1 Gorkavyĭ, Vasyl A.
1 Gortler, Steven J.
1 Gruber, Anthony
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 Izmestiev, Ivan
1 Kalinin, Dmytro
1 Kane, Daniel M.
1 Kerr, Megan M.
1 Keunimjaev, Mukhamedali
1 Khimshiashvili, Giorgi
1 Kiazyk, Stephen
1 Kitson, Derek
1 Korobkov, Mikhail V.
1 Kovalëv, Mikhail Dmitrievich
1 Laasch, Bastian
1 Lei, Na
1 Lew, Alan
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 Neshchadim, Mikhail Vladimirovich
1 Nevo, Eran
1 Nieper-Wißkirchen, Marc Arnold
1 Nikonorov, Yurii Gennadyevich
1 Padua-Argüelles, José
1 Pambuccian, Victor V.
1 Parapatits, Lukas
1 Paul, Kallol
1 Peled, Yuval
1 Petrunin, Anton Mikhailovich
1 Power, Stephen Charles
1 Pratt, Kevin
1 Price, Gregory N.
1 Rabanal, Roland
1 Rančić, Svetozar R.
...and 26 more Authors
all top 5

Cited in 65 Serials

11 Siberian Mathematical Journal
5 Beiträge zur Algebra und Geometrie
5 Discrete & Computational Geometry
5 Proceedings of the Steklov Institute of Mathematics
4 Journal of Mathematical Sciences (New York)
3 Journal of Geometry
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Computers & Mathematics with Applications
2 Advances in Mathematics
2 Geometriae Dedicata
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 European Journal of Combinatorics
2 Journal of Convex Analysis
2 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
1 American Mathematical Monthly
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 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Mathematische Semesterberichte
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 Bulletin of the London Mathematical Society
1 Compositio Mathematica
1 Publications Mathématiques
1 International Journal for Numerical Methods in Engineering
1 Journal of Differential Equations
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Naval Research Logistics
1 Transactions of the Moscow Mathematical Society
1 Annals of Global Analysis and Geometry
1 Graphs and Combinatorics
1 Computational Mechanics
1 Applied Mathematics Letters
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 Sbornik: Mathematics
1 Documenta Mathematica
1 Doklady Mathematics
1 Journal for Geometry and Graphics
1 Lobachevskii Journal of Mathematics
1 Moscow Mathematical Journal
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 ASTIN Bulletin
1 Contributions to Discrete Mathematics
1 International Electronic Journal of Geometry
1 Journal of Applied and Industrial Mathematics
1 Journal of Siberian Federal University. Mathematics & Physics
all top 5

Cited in 46 Fields

54 Convex and discrete geometry (52-XX)
32 Differential geometry (53-XX)
18 Geometry (51-XX)
10 Algebraic geometry (14-XX)
8 Combinatorics (05-XX)
5 Real functions (26-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 History and biography (01-XX)
4 General topology (54-XX)
4 Manifolds and cell complexes (57-XX)
4 Mechanics of deformable solids (74-XX)
4 Quantum theory (81-XX)
3 Ordinary differential equations (34-XX)
3 Partial differential equations (35-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Computer science (68-XX)
3 Mechanics of particles and systems (70-XX)
3 Operations research, mathematical programming (90-XX)
2 Category theory; homological algebra (18-XX)
2 Probability theory and stochastic processes (60-XX)
2 Numerical analysis (65-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 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-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