Eigenvalue estimates and applications on weighted manifolds
Differential Geometry
2025-12-22 v3
Abstract
We will present an estimate for the first eigenvalue of the Dirichlet and Neumann problems in terms of the Bakry-\'Emery Ricci curvature for a compact weighted manifold. As an application we will establish a stability condition for a h-minimal hypersurface.
Cite
@article{arxiv.2412.09396,
title = {Eigenvalue estimates and applications on weighted manifolds},
author = {A. C. Bezerra and T. Castro Silva and F. Manfio},
journal= {arXiv preprint arXiv:2412.09396},
year = {2025}
}
Comments
17 Pages