Eigenvalue estimates and L1 energy on closed manifolds

Details Eigenvalue estimates and L1 energy on closed manifolds Eigenvalue estimates and L1 energy on closed manifolds

2009-11-25

arxiv.org/abs/0911.4828v1

Mathematics

Differential Geometry

6 pages

Scientific paper

In this paper, we study Lichnerowicz type estimate for eigenvalues of
drifting Laplacian operator and L1 and L2 energy for drifting heat equation on
closed manifolds with weighted measure. In some sense, this study is about the
eigenvalue estimate on Ricci solitons.

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