scholarly journals Some rigidity theorems on Finsler manifolds

2021 ◽  
Vol 6 (3) ◽  
pp. 3025-3036
Author(s):  
Songting Yin ◽  
Keyword(s):  
Finsler Manifolds ◽  
Rigidity Theorems

Some rigidity theorems of harmonic maps between Finsler manifolds

2014 ◽  
Vol 25 (05) ◽  
pp. 1450043
Author(s):  
Qun He ◽  
Daxiao Zheng
Keyword(s):  
Riemannian Geometry ◽  
Harmonic Maps ◽  
Harmonic Map ◽  
Finsler Manifold ◽  
Finsler Manifolds ◽  
Rigidity Theorems

This paper is to study further properties of harmonic maps between Finsler manifolds. It is proved that any conformal harmonic map from an n(>2)-dimensional Finsler manifold to a Finsler manifold must be homothetic and some rigidity theorems for harmonic maps between Finsler manifolds are given, which improve some results in earlier papers and generalize Eells–Sampson's theorem and Sealey's theorem in Riemannian Geometry.

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

scholarly journals Geodesic Random Walks, Diffusion Processes and Brownian Motion on Finsler Manifolds

2021 ◽  
Author(s):  
Tianyu Ma ◽  
Vladimir S. Matveev ◽  
Ilya Pavlyukevich
Keyword(s):  
Brownian Motion ◽  
Diffusion Process ◽  
Random Walks ◽  
Diffusion Processes ◽  
Riemannian Metric ◽  
Finsler Manifold ◽  
Finsler Manifolds ◽  
Bounded Geometry ◽  
And Brownian Motion

AbstractWe show that geodesic random walks on a complete Finsler manifold of bounded geometry converge to a diffusion process which is, up to a drift, the Brownian motion corresponding to a Riemannian metric.

Sign in / Sign up

Export Citation Format

Share Document