An Almost Contact Structure on $G_2$-Manifolds

Autor:	Todd, Albert J.
Rok vydání:	2015
Předmět:	Mathematics - Differential Geometry High Energy Physics - Theory Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	In this article, we study an almost contact metric structure on a $G_2$-manifold constructed by Arikan, Cho and Salur in via the classification of almost contact metric structures given by Chinea and Gonzalez. In particular, we characterize when this almost contact metric structure is cosymplectic and narrow down the possible classes in which this almost contact metric structure could lie. Finally, we show that any closed $G_2$-manifold admits an almost contact metric $3$-structure by constructing it explicitly and characterize when this almost contact metric $3$-structure is $3$-cosymplectic. Comment: 13 pages; LaTeX
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1501.06966 Zobrazit plný text záznamu View this record from Arxiv