Eigenvalue Estimates on Weighted Manifolds.
作者信息
Branding Volker, Habib Georges
机构信息
Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria.
Department of Mathematics, Faculty of Sciences II, Lebanese University, P.O. Box 90656, Fanar-Matn, Lebanon.
出版信息
Results Math. 2024;79(5):187. doi: 10.1007/s00025-024-02214-3. Epub 2024 Jun 16.
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 provide a number of geometric applications. In particular, we derive an inequality which relates the eigenvalues of the Jacobi operator for -minimal hypersurfaces and the spectrum of the Hodge Laplacian.
摘要
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