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.

scholarly journals HARDY INEQUALITIES UNDER SOME NON-CONVEXITY MEASURES

2013 ◽  
Vol 17 (1) ◽  
pp. 299-313 ◽  
Author(s):  
Waleed Abuelela
Keyword(s):  
Hardy Inequalities

Vertical Chern Type Classes on Complex Finsler Bundles

2011 ◽  
Vol 57 (2) ◽  
pp. 377-386
Author(s):  
Cristian Ida
Keyword(s):  
Differential Forms ◽  
Linear Connection ◽  
Curvature Form ◽  
Cohomology Groups ◽  
Finsler Manifolds ◽  
Invariance Properties ◽  
Type Classes

Vertical Chern Type Classes on Complex Finsler BundlesIn the present paper, we define vertical Chern type classes on complex Finsler bundles, as an extension of thev-cohomology groups theory on complex Finsler manifolds. These classes are introduced in a classical way by using closed differential forms with respect to the conjugated vertical differential in terms of the vertical curvature form of Chern-Finsler linear connection. Also, some invariance properties of these classes are studied.

Some results on product complex Finsler manifolds

2011 ◽  
Vol 31 (4) ◽  
pp. 1541-1552
Author(s):  
Wu Zhicheng ◽  
Zhong Chunping
Keyword(s):  
Finsler Manifolds

Best remainder norms in Sobolev-Hardy inequalities

2009 ◽  
Vol 58 (3) ◽  
pp. 1051-1096 ◽  
Author(s):  
Andrea Cianchi ◽  
Adele Ferone
Keyword(s):  
Hardy Inequalities

scholarly journals Many-particle Hardy inequalities

2007 ◽  
Vol 77 (1) ◽  
pp. 99-115 ◽  
Author(s):  
M. Hoffmann-Ostenhof ◽  
T. Hoffmann-Ostenhof ◽  
A. Laptev ◽  
J. Tidblom
Keyword(s):  
Hardy Inequalities
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