SOME RESULTS ON THE NON-RIEMANNIAN QUANTITY H OF A FINSLER METRIC
Author:
- 1 July 2011
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Mathematics
- Vol. 22 (07) , 925-936
Abstract
In this paper, we study the non-Riemannian quantity H in Finsler geometry. We obtain some rigidity theorems of a compact Finsler manifold under some conditions related to H. We also prove that the S-curvature for a Randers metric is almost isotropic if and only if H almost vanishes. In particular, S-curvature is isotropic if and only if H = 0.Keywords
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