Sasaki流形的直径界及其在Sasaki-Einstein结构唯一性中的应用
A diameter bound for Sasaki manifolds with application to uniqueness for Sasaki-Einstein structure
摘要:
本文给出了具有正横里奇曲率的Sasaki流形的直径界.作为应用,我们得到了紧致Sasaki流形上的Sasaki-Einstein度量的唯一性,模为横截全纯结构的自同构群的单位连通区的作用.
英文摘要:
In this paper we give a diameter bound for Sasaki manifolds with positive transverse Ricci curvature. As an application, we obtain the uniqueness of Sasaki-Einstein metrics on compact Sasaki manifolds modulo the action of the identity component of the automorphism group for the transverse holomorphic structure.
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