Eur. Phys. J. Plus (2017) 132: 310
https://doi.org/10.1140/epjp/i2017-11592-7

Regular Article

Hyperbolic geometric flow on reduced Berwald spaces: Short-time existence and uniqueness

Faculty of Math and Computer, Department Pure Mathematics, Shahid Bahonar university of Kerman, Kerman, Iran

^* e-mail: arazavi@uk.ac.ir

Received: 14 February 2017
Accepted: 9 June 2017
Published online: 18 July 2017

Abstract

In this paper, we introduce a new understanding tool, the Finsler hyperbolic geometric flow, and establish the short-time existence and uniqueness theorem for reduced Berwald spaces. This kind of flow is very natural to understand certain wave phenomena in physics as well as the geometry of Finsler manifolds. Also we illustrate the wave character of the metrics and curvatures of reduced Berwald manifolds.