Eigenvalue estimates and L1 energy on closed manifolds

Abstract

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.

6 pages

Cited by in corpus (1)

• Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacins