EXISTENCE AND UNIQUENESS FOR SOLUTION OF RICCI FLOW ON FINSLER MANIFOLDS-Reference-Cited by-同舟云学术

EXISTENCE AND UNIQUENESS FOR SOLUTION OF RICCI FLOW ON FINSLER MANIFOLDS

Published:2013-01-10 Issue:03 Volume:10 Page:1250091
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

AZAMI SHAHROUD¹,RAZAVI ASADOLLAH¹

Affiliation:

1. Department of Mathematics and Computer Sciences, Amir-Kabir University of Technology, 424 Hafez Ave., Teheran, Iran

Abstract

This paper shows that the Ricci flow on Finsler manifolds with Berwald metrics cannot possibly be strictly parabolic. Then, we will define a modified flow which is strictly parabolic and by using it, we will prove the existence and uniqueness for solution of Ricci flow on Finsler manifolds.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887812500910

Reference19 articles.

1. D. Bao, Finsler Geometry: In memory of Makoto Matsumoto, Advanced Studies in Pure Mathematics 48 (Mathematical Society, Japan, Tokyo, 2007) pp. 19–71.

2. Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

3. The Ricci Flow: An Introduction

4. Hamilton’s Ricci Flow

5. Deforming metrics in the direction of their Ricci tensors

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