Results 121 to 130 of about 1,286,020 (149)

An Isoperimetric Problem on the Lobachevsky Plane with a Left-Invariant Finsler Structure

Proceedings of the Steklov Institute of Mathematics, 2023
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V. Myrikova
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Curvature and isometries of the Lorentzian Lobachevsky plane

Russian Mathematical Surveys
A left-invariant Lorentz structure on \(G=\mathrm{Aff}_+({\mathbb R})=\left\{(x,y)\colon y>0\right\}\) is a nondegenerate quadratic form of index \((1,1)\) on the Lie algebra \(\mathfrak{g}\). This note gives an expression for its Levi-Civita connection and states (without proof) that it always has constant sectional curvature, hence is locally ...
Y. Sachkov
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Canonical and Boundary Representations on the Lobachevsky Plane

Acta Applicandae Mathematica, 2002
The authors study canonical representations of the Lobachevsky plane. The representations are labeled by a complex parameter \(\lambda\). If \(\lambda\in (-3/2,0)\) then they coincide with the Vershik-Gelfand-Graev canonical unitary (with respect to the Berezin form) representations on a Hermitian symmetric space.
Molchanov, V. F., Grosheva, L. I.
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Gauge-periodic point perturbations on the Lobachevsky plane

Theoretical and Mathematical Physics, 1999
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Brüning, J., Geiler, V. A.
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Decomposition of boundary representations on the Lobachevsky plane associated with linear bundles

Russian Universities Reports. Mathematics, 2019
Earlier we described canonical (labelled by λ ∈C) and accompanying boundary representations of the group G = SU(1,1) on the Lobachevsky plane D in sections of linear bundles and decomposed canonical representations into irreducible ones. Now we decompose representations acting on distributions concentrated at the boundary of D.
Larisa I. Grosheva
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On infinite polygons of the Lobachevsky plane

Journal of Mathematical Sciences, 2007
The author considers a Poincaré model of the Lobachevsky geometry. In this field a equidistant line is a convex curve defined by the property that all its points form a convex curve which are on the same distance from a given line. The infinite polygon is an intersection of closed semi-planes, such that their boundaries are lines without common points.
Z. Kaidasov
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Waveguides with Random Inhomogeneities and Brownian Motion In the Lobachevsky Plane

Theory of Probability & Its Applications, 1959
It has been shown that the probability density for the continuous random process of the resultant of independent values which are summed up according to the linear-fractional law satisfies the diffusion equation in the Lobachevsky plane. Green’s function of the diffusion equation, which apparently is a new distribution, has been found.
M. E. Gertsenshtein, V. B. Vasil’ev
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A Finite Bolyal-Lobachevsky Plane

The American Mathematical Monthly, 1962
L. Graves
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On Analogs of Fuhrmann’s Theorem on the Lobachevsky Plane

Siberian Mathematical Journal
A. V. Kostin
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Expansion in Eigenfunctions of the Automorphic Laplacian on the Lobachevsky Plane

1990
We now proceed to exposing the basis of the spectral theory of automorphic functions, limiting ourselves for the present to the case of a hyperbolic plane (the Lobachevsky plane).
A. Venkov
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