A note on first eigenvalue estimates by coupling methods in Kähler and quaternion Kähler manifolds

Fabrice Baudoin, Gunhee Cho, Guang Yang

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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.

OriginalsprogEngelsk
Artikelnummer12
TidsskriftElectronic Communications in Probability
Vol/bind27
ISSN1083-589X
DOI
StatusUdgivet - 2022
Udgivet eksterntJa

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