Gromov hyperbolicity of negatively curved Finsler manifolds

2011 ◽  
Vol 97 (3) ◽  
pp. 281-288 ◽  
Author(s):  
Yong Fang
Keyword(s):  
Gromov Hyperbolicity ◽  
Finsler Manifolds ◽  
Negatively Curved

Gromov-hyperbolicity and transitivity of geodesic flows in n-dimensional Finsler manifolds

2020 ◽  
Vol 68 ◽  
pp. 101588
Author(s):  
Alessandro Gaio Chimenton ◽  
José Barbosa Gomes ◽  
Rafael O. Ruggiero
Keyword(s):  
Gromov Hyperbolicity ◽  
Geodesic Flows ◽  
Finsler Manifolds

scholarly journals On Negatively Curved Finsler Manifolds of Scalar Curvature

2005 ◽  
Vol 48 (1) ◽  
pp. 112-120 ◽  
Author(s):  
Xiaohuan Mo ◽  
Zhongmin Shen
Keyword(s):  
Scalar Curvature ◽  
Tangent Bundle ◽  
Compact Manifold ◽  
Scalar Function ◽  
Finsler Metric ◽  
Finsler Metrics ◽  
Finsler Manifolds ◽  
Global Rigidity ◽  
Negatively Curved ◽  
Projectively Flat

AbstractIn this paper, we prove a global rigidity theorem for negatively curved Finsler metrics on a compact manifold of dimension n ≥ 3. We show that for such a Finsler manifold, if the flag curvature is a scalar function on the tangent bundle, then the Finsler metric is of Randers type. We also study the case when the Finsler metric is locally projectively flat.

On Finsler manifolds of negative flag curvature

2015 ◽  
Vol 07 (03) ◽  
pp. 483-504 ◽  
Author(s):  
Yong Fang ◽  
Patrick Foulon
Keyword(s):  
Geodesic Flow ◽  
Large Scale ◽  
Riemannian Metrics ◽  
Flag Curvature ◽  
Finsler Metrics ◽  
Metric Entropy ◽  
Hadamard Manifolds ◽  
Finsler Manifolds ◽  
Negatively Curved ◽  
Large Scale Geometry

One of the key differences between Finsler metrics and Riemannian metrics is the non-reversibility, i.e. given two points p and q, the Finsler distance d(p, q) is not necessarily equal to d(q, p). In this paper, we build the main tools to investigate the non-reversibility in the context of large-scale geometry of uniform Finsler Cartan–Hadamard manifolds. In the second part of this paper, we use the large-scale geometry to prove the following dynamical theorem: Let φ be the geodesic flow of a closed negatively curved Finsler manifold. If its Anosov splitting is C2, then its cohomological pressure is equal to its Liouville metric entropy. This result generalizes a previous Riemannian result of U. Hamenstädt.

scholarly journals Sufficient Criteria for Obtaining Hardy Inequalities on Finsler Manifolds

2021 ◽  
Vol 18 (2) ◽  
Author(s):  
Ágnes Mester ◽  
Ioan Radu Peter ◽  
Csaba Varga
Keyword(s):  
Finsler Manifolds ◽  
Hardy Inequalities

Double-Helix Supramolecular Nanofibers Assembled from Negatively Curved Nanographenes

2021 ◽  
Author(s):  
Kenta Kato ◽  
Kiyofumi Takaba ◽  
Saori Maki-Yonekura ◽  
Nobuhiko Mitoma ◽  
Yusuke Nakanishi ◽  
...  
Keyword(s):  
Double Helix ◽  
Negatively Curved

scholarly journals Gromov Hyperbolicity of Riemann Surfaces

2006 ◽  
Vol 23 (2) ◽  
pp. 209-228 ◽  
Author(s):  
José M. Rodríguez ◽  
Eva Tourís
Keyword(s):  
Riemann Surfaces ◽  
Gromov Hyperbolicity
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