scholarly journals Non-hyperbolic behavior of geodesic flows of rank 1 surfaces

2019 ◽  
Vol 39 (1) ◽  
pp. 521-551
Author(s):  
Katrin Gelfert ◽  
Keyword(s):  
Geodesic Flows ◽  
Hyperbolic Behavior

ELLIPTIC OPERATORS AND SOLUTIONS OF COHOMOLOGICAL EQUATIONS FOR GEODESIC FLOWS WITH HYPERBOLIC BEHAVIOR

1991 ◽  
Vol 02 (06) ◽  
pp. 701-709
Author(s):  
SVETLANA KATOK
Keyword(s):  
Negative Curvature ◽  
Infinitesimal Generator ◽  
Geodesic Flows ◽  
Constant Negative Curvature ◽  
Smooth Functions ◽  
Negatively Curved ◽  
Finite Dimensional ◽  
Unit Tangent Bundle ◽  
Hyperbolic Behavior ◽  
Cohomological Equations

In this paper we study the space of smooth functions on the unit tangent bundle SM to a compact negatively curved surface M that are eigenfunctions of the infinitesimal generator of the action of SO(2) on SM, and that have zero integrals over all periodic orbits of the geodesic flow on SM. It is proved that the space of such functions is finite dimensional. In the case of constant negative curvature a complete description of this space is obtained.

Discrete Geodesic Flows on Stiefel Manifolds

2020 ◽  
Vol 310 (1) ◽  
pp. 163-174
Author(s):  
Božidar Jovanović ◽  
Yuri N. Fedorov
Keyword(s):  
Geodesic Flows ◽  
Stiefel Manifolds

scholarly journals Kinematics of geodesic flows in stringy black hole backgrounds

2009 ◽  
Vol 79 (12) ◽  
Author(s):  
Anirvan Dasgupta ◽  
Hemwati Nandan ◽  
Sayan Kar
Keyword(s):  
Black Hole ◽  
Geodesic Flows

Expansive geodesic flows on surfaces

1993 ◽  
Vol 13 (1) ◽  
pp. 153-165 ◽  
Author(s):  
Miguel Paternain
Keyword(s):  
Geodesic Flow ◽  
Compact Surface ◽  
Conjugate Points ◽  
Riemannian Surface ◽  
Geodesic Flows ◽  
Flows On Surfaces

AbstractWe prove the following result: if M is a compact Riemannian surface whose geodesic flow is expansive, then M has no conjugate points. This result and the techniques of E. Ghys imply that all expansive geodesic flows of a compact surface are topologically equivalent.

scholarly journals Differentiability of entropy for Anosov and geodesic flows

1990 ◽  
Vol 22 (2) ◽  
pp. 285-294 ◽  
Author(s):  
A. Katok ◽  
G. Knieper ◽  
M. Pollicott ◽  
H. Weiss
Keyword(s):  
Geodesic Flows

Still-to-Video Face Matching Using Multiple Geodesic Flows

2016 ◽  
Vol 11 (12) ◽  
pp. 2866-2875 ◽  
Author(s):  
Yu Zhu ◽  
Yan Li ◽  
Guowang Mu ◽  
Shiguang Shan ◽  
Guodong Guo
Keyword(s):  
Geodesic Flows ◽  
Face Matching
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