Nearly parallel $G_2$-structures with large symmetry group

Autor:	Podestà, Fabio
Rok vydání:	2019
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We prove the existence of a one-parameter family of nearly parallel $G_2$-structures on the manifold $S^3\times \mathbb R^4$, which are mutually non isomorphic and invariant under the cohomogeneity one action of the group $SU(2)^3$. This family connects the two locally homogeneous nearly parallel $G_2$-structures which are induced by the homogeneous ones on the sphere $S^7$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.03077 Zobrazit plný text záznamu View this record from Arxiv