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.
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页数：34
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