EIGENVALUES VARIATION OF THE P-LAPLACIAN UNDER THE RICCI FLOW ON SM

被引：0

作者：

Azami, Shahroud ^{[1
]}

Razavi, Asadollah ^{[2
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Math, Qazvin, Iran

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

来源：

JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY | 2016年 / 22卷 / 02期

关键词：

Ricci flow; Finsler manifold; p-Laplace operator;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (M, F) be a compact Finsler manifold. Studying the eigenvalues and eigenfunctions for the linear and nonlinear geometric operators is a known problem. In this paper we will consider the eigenvalue problem for the p-laplace operator for Sasakian metric acting on the space of functions on SM. We find the first variation formula for the eigenvalues of p -Laplacian on SM evolving by the Ricci flow on M and give some examples.

引用

页码：157 / 175

页数：19

共 20 条

[1] EXISTENCE AND UNIQUENESS FOR SOLUTION OF RICCI FLOW ON FINSLER MANIFOLDS [J].