Coindex and rigidity of Einstein metrics on homogeneous Gray manifolds

Autor:	Schwahn, Paul
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry 53C24 53C25 53C30
Druh dokumentu:	Working Paper
Popis:	Any $6$-dimensional strict nearly K\"ahler 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 $F_{1,2}=\mathrm{SU}(3)/T^2$ are not integrable into a curve of Einstein metrics. Comment: 30 pages. v2: Shortened some elementary calculations. v3: Revised version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.08005 Zobrazit plný text záznamu View this record from Arxiv