PROFESSIONAL SOCIETIES AND ORGANIZATION:
Kharkov Mathematical Society
Editorship of the journal "Mathematical Physics, Analysis, Geometry"
RESEARCH INTERESTS:
Isometric immersions of Lobachesky space into Euclidean space
Minimal submanifolds
Grassmann image of submanifolds
Global geometry of submanifolds and vector fields in Riemann space
MAIN PUBLICATIONS WITHIN LAST 5 YEARS:
1. Geometry of the Grassmann image for a local isometric immersion of
n-dimensional Lobachevsky space into (2n-1)-dimensional Euclidean space
// Mathematicheskiy Sbornik, 1997, V.100, N.1. (in Russian)
2. An example of isometric immersion of a domain of 3-dimensional
Lobachevsky печатн. space into E6 with a sect.ion as the Veronese
surface // Mathematicheskaya phisika, analiz, geometria, 1999, V.6, N.1-2
(with Goncharova O.A.)
3. On the Bianchi and Backlund transformations of two-dimensional surfaces
in four-dimensional Euclidean space // Mathematical Physics, Analysis,
Geometry, 2000, N.3, n.1 (with A.Sym)
4. Isometric immersions of Lobachevsky space into spheres and geometric
interpretation of spectral parameter // Phys. Letter A, 2001 (with J.Cieslinski)
5. Closed surfaces in Е4 with non-zero Withney invariant // Mathematicheskaya
phisika, analiz, geometria, 1998, V.5, N.3-4 (with Manzhos N.V.,
in Russian)
7. An expression for the Riemannian curvature tensor of a submanifold
in Euclidean space given by a system of equations // Mathematicheskie zametki,
1999, V.66, N.1 (in Russian)
8. On the Gauss curvature of closed surfaces in E3 and E4 //
Mathematicheskaya phisika, analiz, geometria, 2001, V.8, N.1 (with Gorkaviy
V.A., in Russian)
9. New ideas in differential geometry of submanifolds - Acta: Kharkiv
(Ukraine), 1998, 176 pp.
10. The geometry of vector fields - Gordon and Breach: Amsterdam, 1999,
188 pp.
11. Differential geometry and topology of curves - Gordon and Breach:
Amsterdam, 2000, 216 pp.
12. Geometry of submanifolds - Gordon and Breach: Amsterdam,
371 pp
13. Geometry of submanifolds - Naukova dumka: Kiev, 396
pp (in Russian)
OFFICE ADDRESS: Institute
for Low Temperature Physics & Engineering
47, Lenin ave., 310164 Kharkov, Ukraine
Tel.: (380)-57-330-85-84
E-mail: aminov@ilt.kharkov.ua