K-SEMISTABILITY FOR IRREGULAR SASAKIAN MANIFOLDS

被引：40

作者：

Collins, Tristan C. ^{[1
]}

Szekelyhidi, Gabor ^{[2
]}

机构：

[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

[2] Univ Notre Dame, Dept Math, South Bend, IN USA

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2018年 / 109卷 / 01期

关键词：

KAHLER-RICCI FLOW; EINSTEIN MANIFOLDS; SCALAR CURVATURE; EXTREMAL METRICS; STABILITY; GEOMETRY; OBSTRUCTIONS; CONJECTURE; VARIETIES; EXISTENCE;

D O I：

10.4310/jdg/1525399217

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a notion of K-semistability for Sasakian manifolds. This extends to the irregular case of the orbifold K-semistability of Ross-Thomas. Our main result is that a Sasakian manifold with constant scalar curvature is necessarily K-semistable. As an application, we show how one can recover the volume minimization results of Martelli-Sparks-Yau, and the Lichnerowicz obstruction of Gauntlett-Martelli-Sparks-Yau from this point of view.

引用

页码：81 / 109

页数：29

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