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2022 A note on first eigenvalue estimates by coupling methods in Kähler and quaternion Kähler manifolds
Fabrice Baudoin, Gunhee Cho, Guang Yang
Author Affiliations +
Electron. Commun. Probab. 27: 1-8 (2022). DOI: 10.1214/22-ECP452

Abstract

In this note, using the Kendall-Cranston coupling, we study on Kähler (resp. quaternion Kähler) manifolds first eigenvalue estimates in terms of dimension, diameter, and lower bounds on the holomorphic (resp. quaternionic) sectional curvature.

Funding Statement

Fabrice Baudoin and Guang Yang were supported in part by National Science Foundation grant DMS-1901315.

Citation

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Fabrice Baudoin. Gunhee Cho. Guang Yang. "A note on first eigenvalue estimates by coupling methods in Kähler and quaternion Kähler manifolds." Electron. Commun. Probab. 27 1 - 8, 2022. https://doi.org/10.1214/22-ECP452

Information

Received: 30 May 2021; Accepted: 29 January 2022; Published: 2022
First available in Project Euclid: 10 February 2022

Digital Object Identifier: 10.1214/22-ECP452

Subjects:
Primary: 58J65
Secondary: 58J50 , 58J50 , 60J60

Keywords: first eigenvalue estimates , Kähler and quaternion Kähler manifolds , Kendall-Cranston coupling

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