Existence and non-existence of cohomogeneity one Einstein metrics

Autor:	Chi, Hanci
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry 53C25
Druh dokumentu:	Working Paper
Popis:	This paper derives sufficient conditions for the existence and non-existence of cohomogeneity one Einstein metrics on double disk bundles of two summands type. These conditions are inequalities that only involve geometric data from the principal orbits. The existence theorem yields five infinite families and ten other sporadic examples of new inhomogeneous Einstein metrics. The non-existence theorem yields five examples whose principal orbits admit invariant Einstein metrics.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.10836 Zobrazit plný text záznamu View this record from Arxiv