Victor E. Fomin

E-mail: Victor.Fomin@ksu.ru

Geometry Department Institute of Mathematics and Mechanics Kazan State University Kazan State University, Kremlyovskaya, 17, Kazan: 420008 RUSSIA Position: Associate Professor

Scientific Interests: differential geometry of manifolds of infinite dimension, spaces of constant curvature

Main Publications

• [1] MR1777247 ] Fomin, V. E. Linear connections and geodesic curves on manifold of compact submanifolds of Euclidean space. (Russian) Trudy Matematicheskogo Tsentra imeni N. I. Lobachevskogo. Tom 5. (Russian) [Proceedings of the N. I. Lobachevskii Mathematical Center. Vol. 5] Aktual'nye problemy matematiki i mekhaniki. [Current problems in mathematics and mechanics] Held in Kazan, October 1--3, 2000. Edited by L. A. Aksent'ev, M. M. Arslanov, A. M. Bikchentaev, B. G. Gabdulkhaev, V. I. Zhegalov, V. V. Klokov, S. R. Nasyrov, V. E. Fomin and A. N. Sherstnev. Izdatel'stvo "UNIPRESS", Kazan, 2000. 181-182. ISBN: 5-900044-74-2 00B05 (00B25)
• [2] MR1668906 (2000a:58021) Fomin, V. E. Elements of differential geometry over Banach algebras. (Russian) Tr. Geom. Semin. No. 23 (1997), 149--164. (Reviewer: Liliana Maxim-R\u aileanu) 58B99
• [3] MR1391804 (97i:58017) Fomin, V. E.; Yul'metov, R. R. Linear connections and geodesic curves on Frechet manifolds. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1995, , no. 7, 78--90; translation in Russian Math. (Iz. VUZ) 39 (1995), no. 7, 74--86 (Reviewer: Liliana Maxim-R\u aileanu) 58D17 (58B20)
• [4] MR1393679 (98k:58014) Lashin, El-Said Radvan; Fomin, V. E. Canonical form of the metric of a Riemannian space of constant curvature of Banach type. (Russian) Trudy Geom. Sem. Kazan. Univ. No. 22 (1994), 31--47. (Reviewer: M. Malakhal'tsev) 58B20
• [5] MR1299531 (95j:53023) Malakhal'tsev, M. A.; Fomin, V. E.; Shapukov, B. N.; Shurygin, V. V. Zadachi po tenzornomu analizu i rimanovo\u\i geometrii. (Russian) [Problems in tensor analysis and Riemannian geometry] Izdatelstvo Kazanskogo Universiteta, Kazan, 1993. 160 pp. ISBN: 5-7464-0892-1 (Reviewer: Josef Jany\v ska) 53A45 (15A69 53-01)
• [5] Fomin, V.E. Geodesic rotation networcs and problems of their deformation. (Russian) Differential geometry, 41--48, Saratov. Gos. Univ., Saratov, 1991.
• [7] MR1093228 (91k:53026) Fomin, V. E. Rotation networks and their deformation. (Russian) Trudy Geom. Sem. Kazan. Univ. No. 20 (1990), 101--120. 53A60
• [8] MR1069925 (91f:58007) Fomin, V. E. Projection of linear connections in Banach-type bundles. Trudy Geom. Sem. Kazan. Univ. No. 18 (1988), 95--117. (Reviewer: V. Cruceanu) 58B20 (53C05)
• [9] MR0862616 (87k:58019) Fomin, V. E. A pair of infinite-dimensional Levi-Civita spaces may have no common geodesics. (Russian) Trudy Geom. Sem. Kazan. Univ. No. 17 (1986), 79--83. (Reviewer: J. D. Zund) 58B20 (53B20 53C22)
• Fomin, V. E. Metodicheskiye ukazaniya i rekomendatsii k special'nomu kursu Differentsial'naya geometriya banakhovykh mnogoobrazij. (Russian) [Methodic instructions and recommendations to special course Differential geometry of Banach manifolds] Kazan. Gos. Univ., Kazan, 1986. 37 pp.
• [10] MR0778377 (86h:58005) Fomin, V. E. Differentsial'naya geometriya banakhovykh mnogoobrazij. (Russian) [Differential geometry of Banach manifolds] Differentsial'noe ischislenie. Mnogoobraziya. Linejnaya svyaznost'. [Differential calculus. Manifolds. Linear connection] Kazan. Gos. Univ., Kazan, 1983. 81 pp. (Reviewer: M. Craioveanu) 58A05 (58B20)
• [11] MR0709414 (85g:58023) Fomin, V. E. Pulverizations on Banach manifolds and some of their properties. (Russian) Trudy Geom. Sem. Kazan. Univ. No. 14 (1982), 87--97. 58D15 (58B05)
• [12] MR0710316 (84j:58026) Fomin, V. E. A definition of linear connection on a Banach manifold. (Russian) Differential geometry, 72--84, Saratov. Gos. Univ., Saratov, 1981. (Reviewer: V. Cruceanu) 58B20 (53C05)
• [13] MR0646429 (83m:53016) Fomin, V. E. Fundamental equations of a normalized surface of an infinite-dimensional projective space. (Russian) Trudy Geom. Sem. Kazan. Univ. No. 13 (1981), 81--90. (Reviewer: M. Decuyper) 53A35
• [14] MR0623427 (82g:58009) Fomin, V. E. On the geodesic mapping of infinite-dimensional Riemannian spaces into symmetric spaces with an affine connection. (Russian) Trudy Geom. Sem. Kazan. Univ. No. 11 (1979), 93--99. (Reviewer: V. Cruceanu) 58B20 (53B20)
• [15] MR0583535 (82a:58006) Fomin, V. E. Projective correspondence of two Riemannian spaces of infinite dimension. (Russian) Trudy Geom. Sem. Kazan. Univ. No. 10 (1978), 86--96. (Reviewer: M. Craioveanu) 58B20
• [16] MR0493826 (58 #12793) Fomin, V. E. The space of constant curvature of arbitrary dimension with indefinite metric. (Russian) Trudy Geom. Sem. Kazan. Univ. No. 9 (1976), 114--117. (Reviewer: D. I. Papuc) 53B30
• [17] MR0431250 (55 #4251) Fomin, V. E. On infinite-dimensional spaces of constant curvature. (Russian) Trudy Geom. Sem. Kazan. Univ. No. 8 (1975), 109--117. (Reviewer: J. Virsik) 58B20
• [18] MR0400284 (53 #4119) Fomin, V. E. The differential geometry of dimension-free spaces. (Russian) Proceedings of the Seminar of the Department of Geometry, No. VII (Russian), pp. 140--151. Izdat. Kazan. Univ., Kazan, 1974. (Reviewer: P. Gunther) 58B20

Post-Docs

• Lashin, El-Said Radvan - Egypt
• Yul'metov, Rinat Ravilevich - Bank "Ak Bars"
• Igudesman, Konstantin Borisovich - Kazan State University
• Romanova, Elena Mikhajlovna - Kazan Technological University
• Enikeyev, Kamil' Shamilevich - Kazan Colleage

About me

• Date of Birth - 14.11.1947 (Kazan, Russia).
• 1955-1966 - School Student
• 1966-1971 - Student of Kazan State University, faculty of Mathematics and Mechanics.
• 1971-1984 - Assistant of Geometry Department of Kazan State University.
• 1981 - Thesis "On differential geometry of Banach manifolds".
• Now - Associate Professor of Geometry Department of Kazan State University (since 1984).