Eigenvalues monotonicity of Witten-Laplacian along the mean curvature flow

被引：0

作者：

Azami, Shahroud ^{[1
]}

机构：

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

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2022年 / 53卷 / 01期

关键词：

Laplace operator; Eigenvalue; Mean curvature flow; GEOMETRIC OPERATORS; 1ST EIGENVALUES; RICCI;

D O I：

10.1007/s13226-021-00028-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derive the evolution equation for the first eigenvalue of the Witten-Laplace operator acting on the space of functions along the mean curvature flow on a closed oriented manifold. We show some interesting monotonic quantities under the mean curvature flow.

引用

页码：144 / 152

页数：9

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