List of publications

In process

1. Alexandrov, Victor
   New manifestations of the Darboux's rotation and translation fields of a surface, 6 p.
   arXiv:0910.5164v1 [math.DG]
2. Alexandrov, Victor; Alexandrova, Nadezhda; Weiß, Gunter
   Simplices with equiareal faces, 6 p.
   arXiv:0909.1859v1 [math.MG]
3. Alexandrov, Victor; Connelly, Robert
   Flexible suspensions with a hexagonal equator, 25 p.
   arXiv:0905.3683v1 [math.MG]
4. Alexandrov, Victor
   Algebra versus analysis in the theory of flexible polyhedra, 5 p.
   arXiv:0902.0186v1 [math.MG]
5. Alexandrov, Victor
   The Dehn invariants of the Bricard octahedra, 13 p.
   arXiv:0901.2989v1 [math.MG]
6. Alexandrov, Victor
   Inverse function theorems and their applications to the theory of polyhedra (in Russian)
   Accepted for publication in English in "Reviews in Mathematics and Mathematical Physics". An English translation will be arranged by the editors.

Articles in mathematical journals

1. Alexandrov, V.A.
   On the total mean curvature of a nonrigid surface
   Sibirskii Matematicheskii Zhurnal, 2009, 50, no. 5, 963-966. English translation in Siberian Math. J., 2009, 50, no. 5. 757-759. DOI 10.1007/s11202-009-0087-3.
2. Alexandrov, Victor; Kopteva, Natalia; Kutateladze, S.S.
   Blaschke addition and convex polyhedra (in Russian)
   Tr. Semin. Vektorn. Tenzorn. Anal. 26, 8-30 (2005). (Zbl 1133.52301) An English translation is available at http://xxx.lanl.gov
3. Alexandrov, Victor
   Minkowski-type and Alexandrov-type theorems for polyhedral herissons
   Geom. Dedicata 107, 169-186 (2004). DOI 10.1007/s10711-004-4090-3 (MR 2005k:52034; Zbl 1110.52013)
4. Alexandrov, Victor
   Flexible polyhedra in Minkowski 3-space
   Manuscripta Math. 111 (2003) 3, 341-356. DOI 10.1007/s00229-003-0375-3 (MR 2004g:52035; Zbl 1028.52013)
5. Alexandrov, Victor
   Implicit function theorem for systems of polynomial equations with vanishing Jacobian and its application to flexible polyhedra and frameworks
   Monatshefte fuer Mathematik, 2001, v. 132, issue 4, pp. 269-288. DOI: 10.1007/s006050170034 (MR 2002g:26011; Zbl 0995.58003)
6. Alexandrov, Victor
   Sufficient conditions for the extendibility of an N-th order flex of polyhedra
   Beitrage zur Algebra und Geometrie, 1998, v. 39, no. 2, pp. 367-378. (MR 99k:52035; Zbl 0916.52005)
7. Alexandrov, Victor
   An example of a flexible polyhedron with nonconstant volume in the spherical space
   Beitrage zur Algebra und Geometrie, 1997, v. 38, no. 1, pp. 11-18. (MR 98b:52028; Zbl 0881.52007)
8. Aleksandrov, V.A.
   A new example of the flexible polyhedron
   Sibirskii Matematicheskii Zhurnal, 1995, 36, no. 6, 1215-1224. English translation in Siberian Math. J., 1995, 36, no. 6. 1049-1057. (MR 96m:52037; Zbl 0879.51012)
9. Aleksandrov, V.A.
   On the Gale-Nikaido-Inada fundamental theorem on univalence of mappings
   Sibirskii Matematicheskii Zhurnal, 1994, 35, no. 4, 715-718. English translation in Siberian Math. J., 1994, no. 4, 637-639. (MR 95i:90096; Zbl 0883.26008)
10. Aleksandrov, V.A.
    An example of a one-dimensional rigid set in the plane
    Sibirskii Matematicheskii Zhurnal, 1993, 34, no. 6, 3-9. English translation in Siberian Math. J., 1993, 34, no. 6, 999-1004. (MR 95d:54031; Zbl 0852.54030)
11. Alexandrov V.A. and Dairbekov N.S.
    Remarks on the theorem of M. and S.Radulescu about an initial value problem for the differential equation x⁽ⁿ⁾=f(t,x)
    Rev. Roum. Math. Pures et Appl., 1992, 37, no. 2, 95-102. [ISSN: 0035-3965] (MR 93f:34098; Zbl 0757.34049)
12. Aleksandrov, V.A
    On interrelation between the problem of unique determination of a domain in Rⁿ and a problem of recovery of a locally-Euclidean metric
    Sibirskii Matematicheskii zhurnal, 1992, 33, no. 4, 206-211. English translation in Siberian Math. J., 1992, 33, no. 4, 732-737. (MR 93k:53043; Zbl 0894.53043)
13. Aleksandrov, V.A.
    On the isometricity of polyhedral domains whose boundaries are locally isometric in relative metrics
    Sibirskii Matematicheskii zhurnal, 1992, 33, no. 2, 3-9. English translation in Siberian Math. J., 1992, 33, no. 2, 177-182. (MR 93j:52003; Zbl 0769.54038 and 787.54037)
14. Alexandrov, V.A.
    Remarks on Efimov's theorem about differential tests of homeomorphism
    Rev. Roum. Math. Pures et Appl., 1991, 36, no. 3-4, 101-105. [ISSN: 0035-3965] (MR 93e:26009; Zbl 0758.58006)
15. Aleksandrov, V.A
    Imbedding of locally-euclidean and conformally-flat metrics
    Matematicheskii sbornik, 1991, 182, no. 8, 1105-1117. English translation in Math. USSR-Sb., 1992, 73, no. 2, 467-478. DOI 10.1070/SM1992v073n02ABEH002556 (MR 92k:53009; Zbl 0746.53011 and 772.53006)
16. Aleksandrov, V.A.
    Estimate of deformation of strictly convex domain under deformation of relative metric of its boundary
    Sibirskii Matematicheskii zhurnal, 1990, 31, no. 5, 3-9. English translation in Siberian Math. J., 1990, 30, no. 5, 711-716. (MR 92g:53062; Zbl 0721.51014 and 726.52005)
17. Aleksandrov, V.A.
    On Efimov's theorem on differential tests for a homeomorphism
    Matematicheskii sbornik, 1990, 181, no. 2, 183-188. English translation in Math. USSR-Sb., 1991, 69, no.1, 197-202. DOI 10.1070/SM1991v069n01ABEH001936 (MR 91g:58022; Zbl 0722.58007)
18. Aleksandrov, V.A.
    Remarks to Sabitov's conjecture on volume rigidity with infinitesimal bending of a surface
    Sibirskii Matematicheskii zhurnal, 1989, 30, no. 5, 16-24. English translation in Siberian Math. J., 1989, 30, no. 5, 678-684. (MR 90j:53079; Zbl 0687.53007 and 715.53006)
19. Aleksandrov, V.A.
    Unique determination of domains with non-Jordan boundaries
    Sibirskii Matematicheskii zhurnal, 1989, 30, no. 1, 3-12. English translation in Siberian Math. J., 1989, 30, no. 1, 1-8. (MR 90d:31017; Zbl 0847.57024)
20. Alexandrov, V.A.
    On domains uniquely determined by the relative metrics of theirs boundarie (in Russian)
    Trudy Inst. Mat. (Novosibirsk), 1987, 7, 5-19. (MR 89c:30048; Zbl 0636.53009)
21. Aleksandrov, V.A.
    Isometry of domains in Rⁿ and relative isometry of their boundaries. II
    Sibirskii Matematicheskii zhurnal, 1985, 26, no. 6, 3-8. English translation in Siberian Math. J., 1985, 26, no. 6, 783-787. (MR 87e:30030; Zbl 0604.53024)
22. Aleksandrov, V.A.
    Isometry of domains in Rⁿ and relative isometry of theirs boundaries
    Sibirskii Matematicheskii zhurnal, 1984, 25, no. 3, 4-13. English translation in Siberian Math. J., 1984, 25, no. 3, 339-347. (MR 85k:30023; Zbl 0576.53040)

Methodical instructions

1. Aleksandrov, V.A.
   Generalized Functions (in Russian)
   2005, Novosibirsk State University, 46 p. (Student textbook series of the Novosibirsk State University). ISBN 5-94356-300-8.
2. Aleksandrov, V.A.
   The Fourier Transform (in Russian)
   2002, Novosibirsk State University, 62 p. (Student textbook series of the Novosibirsk State University).
3. Aleksandrov, V.A. and Egorov, A.A.
   Calculus of Variations (in Russian)
   2000, Novosibirsk State University, 65 p. (Student textbook series of the Novosibirsk State University). (Zbl 1078.49001)
4. Aleksandrov, V.A.
   Fourier Series (in Russian)
   1996, Novosibirsk State University, 56 p. (Student textbook series of the Novosibirsk State University). (Zbl 0858.42001)
5. Aleksandrov, V.A
   Bounded Operators in Hilbert Spaces (in Russian)
   1996, Novosibirsk State University, 80 p. (Student textbook series of the Novosibirsk State University).
6. Aleksandrov, V.A.
   Geometry of Spaces with the Scalar Product (in Russian)
   1995, Novosibirsk State University, 47 p. (Student textbook series of the Novosibirsk State University). (Zbl 0849.46014)
7. Aleksandrov, V.A. and Kolesnikov, V.E.
   The Integral Equations (in Russian)
   1993, Novosibirsk State University, 47 p. (Student textbook series of the Novosibirsk State University).
8. Aleksandrov, V.A.
   The Orthogonal Polynomials (in Russian)
   1993, Novosibirsk State University, 68 p. (Student textbook series of the Novosibirsk State University). (MR 94h:42035; Zbl 0857.42011)
9. Aleksandrov, V.A.
   The Laplace Transform (in Russian)
   1992, Novosibirsk State University, 31 p. (Student textbook series of the Novosibirsk State University).

Other publications

1. Aleksandrov, V.A.; Aminov, Yu.A.; Bukhshtaber, V.M.; Vasil'ev, V.A.; Dolbilin, N.P.; Novikov, S.P.; Reshetnyak, Yu.G.; Sadovnichij, V.A.; Fomenko, V.T.
   Idzhad Khakovich Sabitov (to his 70th birthday)
   Russ. Math. Surv. 63, No.6 1173-1177 (2008); translation from Usp. Mat. Nauk 63, No.6, 183-186 (2008). DOI 10.1070/RM2008v063n06ABEH004589
2. Alexandrov, Victor
   Sobolev Institute of Mathematics Celebrates Its Fiftieth Anniversary
   Notices of the American Mathematical Society. 54, no.10, 1512-1514 (2007). (MR2361165; Zbl 1133.01320 and 1145.01315) A Chinese translation is available at the journal `Mathematical Advance in Translation', 2008, vol. 27, no. 1, pp. 71-73 [ISSN 1003-3092]
3. Aleksandrov, V. A.
   The department of higher mathematics (in Russian)
   Bulletin of Novosibirsk State University. Ser. Physics, 1, No.1, 110-116 (2006).
4. Aleksandrov, V.A.; Borisov, Yu.F.; Burago, Yu.D.; Vershinin, V.V.; Volokitin, E.P.; Kononenko, L.I.; Kutateladze, S.S.; Reshetnyak, Yu.G.; Rodionov, E.D.; Romanov, A.S.; Treskov, S.A.; Sharafutdinov, V.A.
   Viktor Andreevich Toponogov (Obituary)
   Russ. Math. Surv. 61, No.2 341-345 (2006); translation from Usp. Mat. Nauk 61, No.2, 153-156 (2006). DOI:10.1070/RM2006v061n02ABEH004314 (MR2261545)
5. Aleksandrov, V. A.
   A brief biography of Janos Bolyai (in Russian)
   Journal Mathematics in Higher Education, 2004, issue 2, pp. 85-88.
6. Aleksandrov, V. A.
   Injective mappings and metric properties of flexible polyhedra (in Russian)
   This is a habilitation dissertation defended October 1, 2004 at Moscow State University
7. Aleksandrov, V. A.
   Injective mappings and metric properties of flexible polyhedra (in Russian)
   This is a short essay of the habilitation dissertation defended October 1, 2004 at Moscow State University
8. Aleksandrov, V .A.; Arnol'd, V. I.; Borisenko, A. A.; Borisov, Yu. F.; Zalgaller, V. A.; Kutateladze, S. S.; Marchenko, V. A.; Milka, A. D.; Novikov, S. P.; Reshetnyak, Yu. G.; Sabitov, I. Kh.; Toponogov, V. A.
   Aleksej Vasil'evich Pogorelov (obituary).
   Russ. Math. Surv. 58, No.3, 593-596 (2003); translation from Usp. Mat. Nauk 58, No.3, 173-175 (2003). DOI: 10.1070/RM2003v058n03ABEH000638 (MR 2004f:01016; Zbl 1050.01509)
9. Alexandrov, Victor
   Problem 10957
   Amer. Math. Monthly, 2002, 109, no. 7, p. 664 [ISSN: 0002-9890]
10. Aleksandrov, V.A.
    Absolute geometry (to the 200th birthday anniversary of Janos Bolyai) (in Russian)
    Newspaper "Science in Siberia", 2002, no. 48-49 (December), p. 8.
11. Aleksandrov, V.A.
    Introduce yourself to the world (about cooperation between the Sobolev Institute of Mathematics and Zentralblatt MATH) (in Russian)
    Newspaper "Science in Siberia", 2002, no. 32-33 (August), p. 10.
12. Aleksandrov, V.A.
    Paris, Paris,... (in Russian)
    Unpublished, 3 p.
13. Aleksandrov, V.
    Revolving ring of tetrahedra (in Russian)
    Kvant. No.5, p. 31 (2001).
14. Aleksandrov, V.A.; Borisov, Yu.F.; Burago, Yu.D.; Verner, A.L.; Kutateladze, S.S.; Reshetnyak, Yu.G.
    Viktor Abramovich Zalgaller (on his 80th birthday)
    Russ. Math. Surv. 56, No.5, 1013-1014 (2001); translation from Usp. Mat. Nauk 56, No.5, 205-206 (2001). DOI: 10.1070/RM2001v056n05ABEH000450 (MR1892572; Zbl 1052.01513)
15. Reshetnyak, Yu.G. (ed.); Vershinin, V.V. (ed.), and Aleksandrov, V.A. (ed.)
    Proceedings of the Conference ``Geometry and Applications'' (in Russian)
    Novosibirsk, Russia, March 13-16, 2000. Novosibirsk: Sobolev Institute of Mathematics. 216 p. (2001). [ISBN 5-86134-098-6] (MR 2002d:53005; Zbl 0966.00048)
16. Alexandrov, V.A.
    How one can crush a milk carton in such a way as to enlarge its volume (in Russian)
    Soros Educational Journal, 2000, no. 2(51), pp. 121-127. (Zbl 0947.52012)
17. Blaschke, W.
    Introduction to Differential Geometry (in Russian)
    Izhevsk: Regular and Chaotic Dynamics, 2000, 232 p. [ISBN 5-7029-0342-0] (Zbl 1024.53001)
    This is the second edition of the Russian translation of the famous book by W.Blaschke. It was edited by V.Alexandrov who wrote also comments (pp. 209-221) on the modern state of the art.
18. Aleksandrov, V.A.
    Flexible polyhedral surfaces (in Russian)
    In the book: Soifer, V.N.(ed.); Solov'ev, Yu.P.(ed.) Contemporary science. Encyclopedia. Vol. 3: mathematics and mechanics. (Sovremennoe estestvoznanie. Ehntsiklopediya. Tom 3: Matematika i mekhanika) (in Russian). Moscow: Nauka, Moscow: Flinta, 2000. [ISBN 5-02-004299-4] (Zbl 0990.00084)
    This is a reprint of the paper from Soros Educational Journal, 1997, no. 5(18), pp. 112-118.
19. Alexandrov, Victor
    Sufficient conditions for the extensibility of an N-th order flex of polyhedra
    J. Geom., 1999, 65, pp. 2-3.
    This is an abstract of a talk given at the Eighth International Conference on Geometry which took place in the Nahsholim Sea Resort, Israel, March 7-14, 1999.
20. Alexandrov, V.A.
    Flexible polyhedral surfaces
    Quantum, 1998, September / October, pp. 4-6. (MR 99i:52012)
    This is an English translation of the paper from Soros Educational Journal, 1997, no. 5(18), pp. 112-118.
21. Alexandrov, V.A.
    Flexible polyhedral surfaces (in Russian)
    Soros Educational Journal, 1997, no. 5(18), pp. 112-118. (Zbl 0880.52017)
22. Alexandrov, V.A. and Dairbekov, N.S.
    Problem E-3354
    Amer. Math. Monthly, 1989, 96, no. 9, p. 838 [ISSN: 0002-9890] (MR 1541602). For a solution see Amer. Math. Monthly, 1991, 98, no. 5, 440-441 (MR 1541910)
23. Alexandrov, Victor A.
    A new example of a flexible polyhedron
    Symmetry Cult. Sci. 6 (1995), no. 1, pp. 34-37 [ISSN 0865-4824] (MR1371623)
24. Alexandrov, V.A.
    Isometry of domains in Rⁿ and relative metrics of theirs boundaries (in Russian) (Essay of the Ph.D. dissertation)
    Institute of Mathematics, Novosibirsk, 1986, pp. 1-10.