Horocycle flow on a surface of negative curvature is separating

1984 ◽  
Vol 36 (2) ◽  
pp. 632-635
Author(s):  
A. A. Gura
Keyword(s):  
Negative Curvature ◽  
Horocycle Flow

scholarly journals A solution to Flinn’s conjecture on weakly expansive flows

2020 ◽  
pp. 1-7
Author(s):  
HIEN MINH HUYNH
Keyword(s):  
Riemann Surfaces ◽  
Negative Curvature ◽  
Constant Negative Curvature ◽  
Horocycle Flow ◽  
Compact Riemann Surfaces ◽  
Phd Thesis ◽  
Expansive Flows

In L. W. Flinn’s PhD thesis published in 1972, the author conjectured that weakly expansive flows are also expansive flows. In this paper we use the horocycle flow on compact Riemann surfaces of constant negative curvature to show that Flinn’s conjecture is not true.

scholarly journals Factors of horocycle flows

1982 ◽  
Vol 2 (3-4) ◽  
pp. 465-489 ◽  
Author(s):  
Marina Ratner
Keyword(s):  
Finite Volume ◽  
Tangent Bundle ◽  
Negative Curvature ◽  
Constant Negative Curvature ◽  
Horocycle Flow ◽  
Unit Tangent Bundle

AbstractWe classify up to an isomorphism all factors of the classical horocycle flow on the unit tangent bundle of a surface of constant negative curvature with finite volume.

scholarly journals Hyperbolic Center of Mass for a System of Particles in a Two-Dimensional Space with Constant Negative Curvature: An Application to the Curved 2-Body Problem

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 531
Author(s):  
Pedro Pablo Ortega Palencia ◽  
Ruben Dario Ortiz Ortiz ◽  
Ana Magnolia Marin Ramirez
Keyword(s):  
Negative Curvature ◽  
Dimensional Space ◽  
Center Of Mass ◽  
Simple Expression ◽  
Two Dimensional ◽  
Constant Negative Curvature ◽  
Euclidean Case ◽  
System Of Particles ◽  
Material Points ◽  
The One

In this article, a simple expression for the center of mass of a system of material points in a two-dimensional surface of Gaussian constant negative curvature is given. By using the basic techniques of geometry, we obtained an expression in intrinsic coordinates, and we showed how this extends the definition for the Euclidean case. The argument is constructive and serves to define the center of mass of a system of particles on the one-dimensional hyperbolic sphere LR1.

Manifolds with wells of negative curvature

1991 ◽  
Vol 103 (1) ◽  
pp. 471-495 ◽  
Author(s):  
K. D. Elworthy ◽  
Steven Rosenberg
Keyword(s):  
Negative Curvature

scholarly journals A Geometric Study of Wasserstein Spaces: Isometric Rigidity in Negative Curvature

2015 ◽  
Vol 2016 (5) ◽  
pp. 1368-1386 ◽  
Author(s):  
Jérôme Bertrand ◽  
Benoît R. Kloeckner
Keyword(s):  
Negative Curvature ◽  
Geometric Study
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