Results 1 to 10 of about 1,286,001 (131)
Contact and almost contact structures on the real extension of the Lobachevsky plane
Учёные записки Казанского университета: Серия Физико-математические науки, 2021 In this article, we propose a group model G of a real extension of the Lobachevsky plane H2 × R . The group G is a Lie group of special-form matrices and a subgroup of the general linear group GL(3, R).
V.I. Pan’zhenskii, A.O. Rastrepina
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A manifold of pure Gibbs states of the Ising model on the Lobachevsky plane [PDF]
Communications in Mathematical Physics, 2013 In this paper we construct many `new' Gibbs states of the Ising model on the Lobachevsky plane, the millefeuilles. Unlike the usual states on the integer lattices, our foliated states have infinitely many interfaces. The interfaces are rigid and fill the
Gandolfo, Daniel +2 more
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Symmetric monochromatic subsets in colorings of the Lobachevsky plane [PDF]
Discrete Mathematics & Theoretical Computer Science, 2010 Combinatorics
Taras Banakh, Artem Dudko, Dusan Repovs
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On the harmonic oscillator on the Lobachevsky plane [PDF]
Russian Journal of Mathematical Physics, 2007 We introduce the harmonic oscillator on the Lobachevsky plane with the aid of the potential $V(r)=(a^2\omega^2/4)sinh(r/a)^2$ where $a$ is the curvature radius and $r$ is the geodesic distance from a fixed center.
A. Comtet +8 more
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Gap generation for Dirac fermions on Lobachevsky plane in a magnetic field [PDF]
Annals of Physics, 2007 We study symmetry breaking and gap generation for fermions in the 2D space of constant negative curvature (the Lobachevsky plane) in an external covariantly constant magnetic field in a four-fermion model.
Alford +37 more
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Fourier Transform on the Lobachevsky Plane and Operational Calculus [PDF]
Functional Analysis and Its Applications, 2020 The classical Fourier transform on the line sends the operator of multiplication by $x$ to $i\frac{d}{d }$ and the operator of differentiation $\frac{d}{d x}$ to the multiplication by $-i $. For the Fourier transform on the Lobachevsky plane we establish a similar correspondence for a certain family of differential operators.
Y. Neretin
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Lorentzian distance on the Lobachevsky plane *
Nonlinearity, 2023 Abstract Left-invariant Lorentzian structures on the 2D solvable non-Abelian Lie group are studied. Sectional curvature, attainable sets, Lorentzian length maximizers, distance, spheres, and infinitesimal isometries are described.
Y. Sachkov
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On Analogues of the Fuhrmann'S Theorem on the Lobachevsky Plane
Владикавказский математический журнал, 2023 Summary: According to Ptolemy's theorem, for a quadrilateral inscribed in a circle on the Euclidean plane, the product of the lengths of the diagonals is equal to the sum of the products of the lengths of opposite sides. This theorem has various generalizations.
А.В. Костин
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Special Cases of Hyperbolic Parallelograms on the Lobachevsky Plane
Journal of Mathematical Sciences, 2022 A hyperbolic parallelogram is a quadrangle whose opposite sides are asymptotically parallel. A hyperbolic rectangle is a hyperbolic parallelogram whose diagonals are congruent. A hyperbolic square is a hyperbolic parallelogram whose diagonals are perpendicular and congruent.
Maskina, M. S., Kuptsov, M. I.
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Toward Interactions through Information in a Multifractal Paradigm [PDF]
Entropy, 2020 In a multifractal paradigm of motion, Shannon’s information functionality of a minimization principle induces multifractal–type Newtonian behaviors. The analysis of these behaviors through motion geodesics shows the fact that the center of the Newtonian ...
Maricel Agop +5 more
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