Table of Contents
ISRN Geometry
Volume 2013 (2013), Article ID 732432, 12 pages
http://dx.doi.org/10.1155/2013/732432
Research Article

On Twisted Products Finsler Manifolds

1Faculty of Science, Department of Mathematics, Arak University, Arak 38156-8-8349, Iran
2Faculty of Science, Department of Mathematics, Qom University, Qom 3716146611, Iran

Received 16 May 2013; Accepted 10 June 2013

Academic Editors: I. Biswas and A. Borowiec

Copyright © 2013 E. Peyghan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

On the product of two Finsler manifolds , we consider the twisted metric which is constructed by using Finsler metrics and on the manifolds and , respectively. We introduce horizontal and vertical distributions on twisted product Finsler manifold and study C-reducible and semi-C-reducible properties of this manifold. Then we obtain the Riemannian curvature and some of non-Riemannian curvatures of the twisted product Finsler manifold such as Berwald curvature, mean Berwald curvature, and we find the relations between these objects and their corresponding objects on and . Finally, we study locally dually flat twisted product Finsler manifold.