Eigenvalues of the Laplacian under the Ricci Flow

Details Eigenvalues of the Laplacian under the Ricci Flow Eigenvalues of the Laplacian under the Ricci Flow

2007-02-25

arxiv.org/abs/math/0702740v1

Rendiconti di Matematica, Serie VII Volume 27, Roma (2007)

Mathematics

Differential Geometry

13 pages

Scientific paper

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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