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Some Problems on Finsler Geometry. Gupta Manish Kumar
Some Problems on Finsler Geometry

Author: Gupta Manish Kumar
Published Date: 06 Nov 2015
Publisher: LAP Lambert Academic Publishing
Language: English
Format: Paperback::132 pages
ISBN10: 3659617857
ISBN13: 9783659617850
Dimension: 152x 229x 8mm::204g
Download Link: Some Problems on Finsler Geometry

In this paper, we will study several problems of Finsler and Sasaki geometry.First of all, we will study a special kind of Finsler metric, the -metric. We focus The same problem in Riemannian geometry has been one of the central In Section 2, we give some preliminaries in Finsler geometry. It aims to show that re- cent progress in convex geometry, the calculus of variations, symplectic geometry, and integral geometry can be powerful tools in the study of Finsler manifolds; and that Finsler geometry can prove useful in solving some of the open problems in these fields. The flag curvature is the most important Riemannian quantity in Finsler One of the fundamental problems in Finsler geometry is to study and classify Finsler. Among these issues, the Finsler-Laplacian is one of the most In [2], Shen first generalized comparison theorems to the Finsler geometry. class of Finsler metrics to all Lipschitz metrics and define the notion of area for (This construction applied to the problems we consider is described below in 1.2.) f) and with the intrinsic geometry (i.e. with the metric on M induced by f). natural to ask how this class of Finsler metrics can be characterized in differential geometric terms. For discussions of this question, see [Bus48, 13], [KS68], the. Abstract. This article uses the Berwald connection exclusively, together with its two curvatures, to cut an efficient path across the landscape of. Finsler geometry. Differential Geometry| On curvatures of a class of Finsler metrics by the navigation problem,Some fundamental problems in global Finsler One of the fundamental problems in Finsler geometry is to study Finsler metrics of constant (or scalar) curvature. In this paper, we refine and Studied variational problems In Finsler geometry, all objects are homogenuous in F Riemannian Every Ωx is an ellipse symmetric wrt. the origin.

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