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arXiv · 1903.09091

Eigenvaluues monotonicity of Witten-Laplacian along the mean curvature flow

Shahroud Azami
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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.

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Shahroud Azami. 2019-03-18. Eigenvaluues monotonicity of Witten-Laplacian along the mean curvature flow. https://arxiv.org/abs/1903.09091

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