Bounds for Laplace eigenvalues of Kaehler metrics
Differential Geometry
2020-02-25 v2 Spectral Theory
Abstract
We prove inequalities for Laplace eigenvalues of Kaehler manifolds generalising to higher eigenvalues the classical inequality for the first Laplace eigenvalue due to Bourguignon, Li, and Yau in 1994. We also obtain similar inequalities for analytic varieties in Kaehler manifolds.
Keywords
Cite
@article{arxiv.1801.02276,
title = {Bounds for Laplace eigenvalues of Kaehler metrics},
author = {Gerasim Kokarev},
journal= {arXiv preprint arXiv:1801.02276},
year = {2020}
}
Comments
17 pages, final version; inaccuracies and typos corrected, minor stylistic changes