Generalized symmetric Berwald spaces

Author(s):

Parastoo Habibi , Asadollah Razavi

Message:
Abstract:
In this paper we study generalized symmetric Berwald spaces. We show that if a Berwald space $(M,F)$ admits a parallel $s-$structure then it is locally symmetric. For a complete Berwald space which admits a parallel s-structure we show that if the flag curvature of $(M,F)$ is everywhere nonzero, then $F$ is Riemannian.
Keywords:

Homogeneous Finsler space , Symmetric space , generalized Symmetric space , Berwald space

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:9 Issue: 1, may 2014
Pages:
63 to 69
https://www.magiran.com/p1264176