EXISTENCE AND UNIQUENESS FOR SOLUTION OF RICCI FLOW ON FINSLER MANIFOLDS

被引：17

作者：

Azami, Shahroud ^{[1
]}

Razavi, Asadollah ^{[1
]}

机构：

[1] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran, Iran

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2013年 / 10卷 / 03期

关键词：

Ricci flow; Finsler manifold; Berwald metric; strictly parabolic; CURVATURE; METRICS;

D O I：

10.1142/S0219887812500910

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：21

共 19 条

[1] [Anonymous], 2006, Grad. Stud. Math
[2] Bao D., 2007, Adv. Stud. Pure Math., V48, P19
[3] CHEN YG, 1991, J DIFFER GEOM, V33, P749
[4] Chow B., 2004, Mathematical Surveys and Monographs, V110
[5] DETURCK DM, 1983, J DIFFER GEOM, V18, P157
[6] HARMONIC MAPPINGS OF RIEMANNIAN MANIFOLDS
EELLS, J
SAMPSON, JH
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1964, 86 (01) : 109 - &
[7] Evans LC, 2010, Partial Differential Equations
[8] HAMILTON RS, 1986, J DIFFER GEOM, V24, P153
[9] HAMILTON RS, 1982, J DIFFER GEOM, V17, P255
[10] Ricci flow and black holes
Headrick, Matthew
Wiseman, Toby
[J]. CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (23) : 6683 - 6707

← 1 2 →