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.
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页码：144 / 152
页数：9
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