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arXiv · 2105.14588

A note on first eigenvalue estimates by coupling methods in K\"ahler and quaternion K\"ahler manifolds

Fabrice Baudoin·Gunhee Cho·Guang Yang
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Abstract

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

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Fabrice Baudoin, Gunhee Cho, Guang Yang. 2021-05-30. A note on first eigenvalue estimates by coupling methods in K\"ahler and quaternion K\"ahler manifolds. https://arxiv.org/abs/2105.14588

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