Results 21 to 30 of about 4,405,798 (247)
Reflections on hyperbolic space [PDF]
, 2021 In school, we learn that the interior angles of any triangle sum up to pi. However, there exist spaces different from the usual Euclidean space in which this is not true.
Haensch, Anna
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The spinor representation of constant mean curvature one surfaces in the Hyperbolic space [PDF]
, 1970 We review and comment on some aspects of the spinor representation for constant mean curvature one surfaces in hyperbolic space developed by Bobenko-Pavlyukevich-Springborn in [1].
Nicolodi, Lorenzo +4 more
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Teichmüller spaces and HR structures for hyperbolic surface dynamics [PDF]
, 2002 We construct a Teichmüller space for the C^{1+}-conjugacy classes of hyperbolic dynamical systems on surfaces. After introducing the notion of an HR structure which associates an affine structure with each of the stable and unstable laminations, we show ...
D. A. RAND +7 more
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Monodromy defects from hyperbolic space
Journal of High Energy Physics, 2022 We study monodromy defects in O(N) symmetric scalar field theories in d dimensions. After a Weyl transformation, a monodromy defect may be described by placing the theory on S 1 × H d−1, where H d−1 is the hyperbolic space, and imposing on the ...
Simone Giombi +3 more
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Complexity, 2020 Network embedding is a frontier topic in current network science. The scale-free property of complex networks can emerge as a consequence of the exponential expansion of hyperbolic space.
Zongning Wu, Zengru Di, Ying Fan
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A hyperbolic analogue of the Atiyah-Hitchin manifold
Journal of High Energy Physics, 2022 The Atiyah-Hitchin manifold is the moduli space of parity inversion symmetric charge two SU(2) monopoles in Euclidean space. Here a hyperbolic analogue is presented, by calculating the boundary metric on the moduli space of parity inversion symmetric ...
Paul Sutcliffe
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Greedy routing optimisation in hyperbolic networks
Scientific Reports, 2023 Finding the optimal embedding of networks into low-dimensional hyperbolic spaces is a challenge that received considerable interest in recent years, with several different approaches proposed in the literature. In general, these methods take advantage of
Bendegúz Sulyok, Gergely Palla
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Geodesics in Trees of Hyperbolic and Relatively Hyperbolic Spaces [PDF]
Proceedings of the Edinburgh Mathematical Society, 2015 AbstractWe present a careful approximation of the quasi-geodesics of trees of hyperbolic and relatively hyperbolic spaces. As an application we prove a dynamical and geometric combination theorem for trees of relatively hyperbolic spaces, with both Farb's and Gromov's definitions.
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Hyperbolic spaces in Teichmüller spaces [PDF]
Journal of the European Mathematical Society, 2014 We prove, for any n , that there is a closed connected orientable surface S so that the hyperbolic space \mathbb H^n
Christopher J. Leininger, Saul Schleimer
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Nonlinear Choquard equations on hyperbolic space [PDF]
Opuscula Mathematica, 2022 In this paper, our purpose is to prove the existence results for the following nonlinear Choquard equation \[-\Delta_{\mathbb{B}^{N}}u=\int_{\mathbb{B}^N}\dfrac{|u(y)|^{p}}{|2\sinh\frac{\rho(T_y(x))}{2}|^\mu} dV_y \cdot |u|^{p-2}u +\lambda u\] on the ...
Haiyang He
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