convex bodies and surfaces; singular submanifolds; Riemannian manifolds;
UDC:
513.7
Subject:
problems of Weyl, Cohn-Vossen, Minkowski in the theory of convex bodies
Biography
VOLKOV Yuri Alexandrovich, 2.9.1930, Kazan - 23.5.1981, Leningrad, geometer,
student of A.D. Aleksandrov, graduated from the faculty of Mathematics and Mechanics of Leningrad State University in 1952, Candidate of Physics and Mathematics
1956, doctor of Physics and Mathematics 1968., professor 1968, The main scientific papers can be found in https://yadi.sk/d/Bb7vd38qah8r6A
Main publications:
Volkov Yurii Aleksandrovich, “Existence of convex polyhedra with prescribed development”, supplement 12.2 in book A.D.Alexandrov Convex polyhedra Springer 2005 pp. 492-505, Vestnik Leningrad Univ, 1960, no. 19, 75-86
Volkov Yu. A., “Existenñe of convex polyhedra with prescribed development”, (Phd dissertation 1955 LGU), 476, 2018, 50-78
Yu. A. Volkov, “Extentions of Darboux–Sauer and Pogorelov theorems”, Zap. Nauchn. Sem. LOMI, 45 (1974), 63–67
3.
S. M. Vladimirova, Yu. A. Volkov, “Isometric transformations of infinite convex surfaces in Lobačevskiĭ space”, Zap. Nauchn. Sem. LOMI, 45 (1974), 56–62
1971
4.
Yu. A. Volkov, S. M. Vladimirova, “Isometric immersions of a Euclidean plane in Lobachevskii space”, Mat. Zametki, 10:3 (1971), 327–332; Math. Notes, 10:3 (1971), 619–622
Ju. A. Volkov, B. V. Dekster, “Erratum”, Math. USSR-Sb., 13:4 (1971), 643
1970
6.
Yu. A. Volkov, V. I. Oliker, “Uniqueness of the solution of Christoffel's problem for nonclosed surfaces”, Mat. Zametki, 8:2 (1970), 251–257; Math. Notes, 8:2 (1970), 611–614
Yu. A. Volkov, B. V. Dekster, “Estimates of the curvature of a three-dimensional evolute”, Mat. Sb. (N.S.), 83(125):4(12) (1970), 616–638; Math. USSR-Sb., 12:4 (1970), 615–637
Yu. A. Volkov, “Estimate of the deformation of a convex surface as a function of the change in its intrinsic metric”, Dokl. Akad. Nauk SSSR, 178:6 (1968), 1238–1240
1956
9.
Yu. A. Volkov, “On deformations of a convex polyhedral angle”, Uspekhi Mat. Nauk, 11:5(71) (1956), 209–210
1972
10.
Yu. A. Volkov, B. V. Dekster, “Letter to the Editor”, Mat. Sb. (N.S.), 88(130):1(5) (1972), 182
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