Eigenvalues of the Laplacian on a compact manifold with density

Bruno Colbois, Ahmad El Soufi, Alessandro Savo

In this paper, we study the spectrum of the weighted Laplacian (also called Bakry-Emery or Witten Laplacian) $L_{\sigma }$ on a compact, connected, smooth Riemannian manifold $(M,g)$ endow…