Generalized Isotropic Berwald Manifolds
Differential Geometry
2013-02-15 v1
Abstract
In this paper, we construct a new class of Finsler manifolds called generalized isotropic Berwald manifolds which is an extension of the class of isotropic Berwald manifolds. We prove that every generalized isotropic Berwald manifold is a generalized Douglas-Weyl manifold. On a compact generalized isotropic Berwald manifold, we show that the notions of stretch and Landsberg curvatures are equivalent. Then we prove that on these manifolds, a Finsler metric is R-quadratic if and only if it is a stretch metric with vanishing E -curvature. Finally, we determine the flag curvature of generalized isotropic Berwald manifold with scalar flag curvature.
Keywords
Cite
@article{arxiv.1302.3271,
title = {Generalized Isotropic Berwald Manifolds},
author = {A. Tayebi and E. Peyghan},
journal= {arXiv preprint arXiv:1302.3271},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1001.3654