Coindex and Rigidity of Einstein Metrics on Homogeneous Gray Manifolds

被引：2

作者：

Schwahn, Paul ^{[1
]}

机构：

[1] Univ Stuttgart, Fachbereich Math, Inst Geometrie & Topol, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2022年 / 32卷 / 12期

关键词：

Einstein metrics; Stability; Rigidity; Lichnerowicz Laplacian; Nearly Kahler;

D O I：

10.1007/s12220-022-01061-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Any 6-dimensional strict nearly Kahler manifold is Einstein with positive scalar curvature. We compute the coindex of the metric with respect to the Einstein-Hilbert functional on each of the compact homogeneous examples. Moreover, we show that the infinitesimal Einstein deformations on F-1,F-2 = SU(3)/T-2 are not integrable into a curve of Einstein metrics.

引用

页数：34

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