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Eigenvalues of the Laplacian under the Ricci Flow

Luca Fabrizio Di Cerbo
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Abstract

We derive, under a technical assumption, the first variation formula for the eigenvalues of the Laplacian on a closed manifold evolving by the Ricci flow and give some applications.

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Luca Fabrizio Di Cerbo. 2007-02-25. Eigenvalues of the Laplacian under the Ricci Flow. https://arxiv.org/abs/math/0702740

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