Uniqueness of constant scalar curvature Sasakian metrics

被引：1

作者：

Jin, Xishen ^{[1
]}

Zhang, Xi ^{[1
]}

机构：

[1] Univ Sci & Technol China, Chinese Acad Sci, Sch Math Sci, Key Lab Wu Wen Tsun Math, Hefei 230026, Peoples R China

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2016年 / 49卷 / 04期

关键词：

Sasakian metric; Scalar curvature; Geodesic; EINSTEIN MANIFOLDS; GEOMETRY; SPACE;

D O I：

10.1007/s10455-015-9493-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that the transverse Mabuchi K-energy functional is convex along the weak geodesic in the space of Sasakian metrics. As an application, we obtain the uniqueness of constant scalar curvature Sasakian metrics modulo automorphisms for the transverse holomorphic structure.

引用

页码：309 / 328

页数：20

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