Eigenvalue estimates on weighted manifolds
Differential Geometry
2024-06-21 v3
Abstract
We derive various eigenvalue estimates for the Hodge Laplacian acting on differential forms on weighted Riemannian manifolds. Our estimates unify and extend various results from the literature and we provide a number of geometric applications. In particular, we derive an inequality which relates the eigenvalues of the Jacobi operator for (f)-minimal hypersurfaces and the spectrum of the Hodge Laplacian.
Cite
@article{arxiv.2201.06375,
title = {Eigenvalue estimates on weighted manifolds},
author = {Volker Branding and Georges Habib},
journal= {arXiv preprint arXiv:2201.06375},
year = {2024}
}