Explicit lower bound of the first eigenvalue of the Laplacian on K\'ahler manifolds

Autor:	Rutkowski, Benjamin, Seto, Shoo
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	We establish an explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds based off the comparison results of Li and Wang. The lower bound will depend on the diameter, dimension, holomorphic sectional curvature and orthogonal Ricci curvature. Comment: Accepted for publication to Involve, a Journal of Mathematics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.10966 Zobrazit plný text záznamu View this record from Arxiv