Eigenvalues monotonicity of Witten-Laplacian along the mean curvature flow

Shahroud Azami ()
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Shahroud Azami: Imam Khomeini International University

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 1, 144-152

Abstract: Abstract 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.

Keywords: Laplace operator; Eigenvalue; Mean curvature flow; 58C40; 53C44 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00028-5

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