An eigenvalue estimate for self-shrinkers in a Ricci shirinker

Franciele Conrado, Detang Zhou

In this paper, we study the drifted Laplacian ${\Delta }_f$ on a hypersurface $M$ in a Ricci shrinker $(\overline{M},g,f)$. We prove that the spectrum of ${\Delta }_f$ is discrete for immersed hyp…