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Found 78 Documents (Results 1–78)

Geometry of the Grassmann image of a local isometric immersion of Lobachevskij \(n\)-dimensional space in \((2n-1)\)-dimensional Euclidean space. (English. Russian original) Zbl 0906.53038

Sb. Math. 188, No. 1, 1-27 (1997); translation from Mat. Sb. 188, No. 1, 3-28 (1997).
MSC:  53C42 53A35 53C20
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A problem of integral geometry connected with horospheres in the imaginary Lobachevsky space of dimension five. (English. Russian original) Zbl 0896.53012

Trans. Mosc. Math. Soc. 1996, 93-109 (1996); translation from Tr. Mosk. Mat. O.-va 57, 102-119 (1996).
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Congruences of horospheres, horocycles, equidistant surfaces, and equidistant curves in the three-dimensional Lobachevskij space. (English. Russian original) Zbl 0835.53017

Russ. Math. 38, No. 3, 33-38 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 3 (382), 35-40 (1994).
Reviewer: J.Vala (Brno)
MSC:  53A35
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On the spectral asymptotics of the Laplacian on a fundamental domain in three-dimensional hyperbolic space. (English. Russian original) Zbl 0806.58048

Proc. Steklov Inst. Math. 193, 95-100 (1993); translation from Tr. Mat. Inst. Steklova 193, 89-94 (1992).
Reviewer: P.Zabreiko (Minsk)
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On the asymptotic behavior of the discrete spectrum of the Dirichlet and Neumann problems for the Laplace-Beltrami operator on a regular polyhedron in the Lobachevskij space. (English. Russian original) Zbl 0721.35050

Funct. Anal. Appl. 24, No. 1, 18-25 (1990); translation from Funkts. Anal. Prilozh. 24, No. 1, 21-28 (1990).
MSC:  35P20 35J05
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Isometric immersions, with flat normal connection, of domains of n- dimensional Lobachevsky space into Euclidean spaces. A model of a gauge field. (English. Russian original) Zbl 0684.53020

Math. USSR, Sb. 65, No. 2, 279-303 (1990); translation from Mat. Sb., Nov. Ser. 137(179), No. 3(11), 275-299 (1988).
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Hyperplane sections of polyhedra, toroidal manifolds, and discrete groups in Lobachevskij space. (English. Russian original) Zbl 0597.51014

Funct. Anal. Appl. 20, 41-50 (1986); translation from Funkts. Anal. Prilozh. 20, No. 1, 50-61 (1986).
Reviewer: J.Kateřiňák
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