Ricci flow on Finsler manifolds
Differential Geometry
2023-04-07 v1
Abstract
This paper investigates the short-time existence and uniqueness of Ricci flow solutions on Finsler manifolds. The main results of this paper are theorems demonstrating the short-time existence of the flow solution for -dimensional Finsler manifolds and the uniqueness of the solution for isotropic Finsler manifolds. Two examples are also presented to illustrate the results.
Cite
@article{arxiv.2304.03005,
title = {Ricci flow on Finsler manifolds},
author = {Behroz Bidabad and Maral K. Sedaghat},
journal= {arXiv preprint arXiv:2304.03005},
year = {2023}
}
Comments
28 pages. arXiv admin note: substantial text overlap with arXiv:1807.04142