Results 41 to 50 of about 5,510,773 (262)
Geometric Cone Surfaces and (2+1)- Gravity coupled to Particles [PDF]
, 2000 We introduce the (2+1)-spacetimes with compact space of genus g and with r gravitating particles which arise by ``Minkowskian suspensions of flat or hyperbolic cone surfaces'', by ``distinguished deformations'' of hyperbolic suspensions and by ...
't Hooft +20 more
core +2 more sources
Volume preserving flow and Alexandrov–Fenchel type inequalities in hyperbolic space [PDF]
Journal of the European Mathematical Society (Print), 2018 In this paper, we study flows of hypersurfaces in hyperbolic space, and apply them to prove geometric inequalities. In the first part of the paper, we consider volume preserving flows by a family of curvature functions including positive powers of $k$-th
B. Andrews, Xuzhong Chen, Yong Wei
semanticscholar +1 more source
Projective structures, grafting, and measured laminations [PDF]
, 2007 We show that grafting any fixed hyperbolic surface defines a homeomorphism from the space of measured laminations to Teichmuller space, complementing a result of Scannell-Wolf on grafting by a fixed lamination.
Bers +29 more
core +3 more sources
Statistical Hyperbolicity in Teichmüller Space [PDF]
Geometric and Functional Analysis, 2014 In this paper we explore the idea that Teichmüller space is hyperbolic "on average." Our approach focuses on studying the geometry of geodesics which spend a definite proportion of time in some thick part of Teichmüller space. We consider several different measures on Teichmüller space and find that this behavior for geodesics is indeed typical.
Dowdall, Spencer +2 more
openaire +3 more sources
Critical properties of the Ising model in hyperbolic space. [PDF]
Physical Review E, 2019 The Ising model exhibits qualitatively different properties in hyperbolic space in comparison to its flat space counterpart. Due to the negative curvature, a finite fraction of the total number of spins reside at the boundary of a volume in hyperbolic ...
N. P. Breuckmann, B. Placke, A. Roy
semanticscholar +1 more source
Vacua and correlators in hyperbolic de Sitter space [PDF]
, 2015 We study the power - and bi -spectrum of vacuum fluctuations in a hyperbolic section of de Sitter space, comparing two states of physical interest: the Bunch-Davies and hyperbolic vacuum.
Dimitrakopoulos, Fotios V. +4 more
core +4 more sources
Unconditional existence of conformally hyperbolic Yamabe flows
, 2019 We prove global existence of instantaneously complete Yamabe flows on hyperbolic space of arbitrary dimension $m\geq3$ starting from any smooth, conformally hyperbolic initial metric. We do not require initial completeness or curvature bounds.
Schulz, Mario B.
core +1 more source
Gradient-based Hierarchical Clustering using Continuous Representations of Trees in Hyperbolic Space
Knowledge Discovery and Data Mining, 2019 Hierarchical clustering is typically performed using algorithmic-based optimization searching over the discrete space of trees. While these optimization methods are often effective, their discreteness restricts them from many of the benefits of their ...
Nicholas Monath +4 more
semanticscholar +1 more source
Volume of $C^{1,\alpha}$-boundary domain in extended hyperbolic space
, 2006 We consider the projectivization of Minkowski space with the analytic continuation of the hyperbolic metric and call this an extended hyperbolic space.
Cho, Yunhi, Kim, Hyuk
core +2 more sources
Sharp Hardy–Adams inequalities for bi-Laplacian on hyperbolic space of dimension four [PDF]
, 2017 We establish sharp Hardy–Adams inequalities on hyperbolic space B 4 of dimension four. Namely, we will show that for any α > 0 there exists a constant C α > 0 such that ∫ B 4 ( e 32 π 2 u 2 − 1 − 32 π 2 u 2 ) d V = 16 ∫ B 4 e 32 π 2 u 2 − 1 − 32 π 2 u 2 (
Guozhen Lu, Qiaohua Yang
semanticscholar +1 more source