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

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2021-05-30 DOI:10.1214/22-ecp452

Fabrice Baudoin, Gunhee Cho, Guang Yang

引用次数: 2

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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关于Kähler和Kähler四元数流形中耦合方法的第一特征值估计的注记

在这个简短的注释中，使用Kendall-Cranston耦合，我们研究了K\“ahler（分别为四元数K\”ahler）流形的第一特征值估计的维数、直径和全纯（分别为三元数）截面曲率的下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.