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arXiv 2608.14831math.DG

与Weil-Petersson度量扭曲的广义Sasaki-Einstein度量

Generalized Sasaki-Einstein metric twisted with Weil-Petersson metric

Hassan Jolany

AI总结:

本文针对基本第一陈类不确定的Sasaki流形,利用Fujino极小模型纲领,提出在其典范模型上构造典范度量的方案。

AI中文摘要:

在Sasaki流形上构造典范度量是一个长期存在的猜想,该猜想的核心部分针对那些基本第一陈类不具有确定性的流形,而大多数Sasaki流形都属于此类。本文提出一个方案,利用Fujino的极小模型纲领,在Sasaki流形的典范模型上寻找典范度量。

英文摘要:

Existence of canonical metric on a Sasakian variety was a long standing conjecture and the major part of this conjecture is about varieties which do not have definite basic first Chern class . Most of the Sasakian varieties do not have definite basic first Chern class. We give a program by using Fujino's Minimal Model program to find canonical metric on the canonical model of Sasakian varieties.

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