On the Geometry of Circle Bundles with Special Holonomy

Autor:	Schliebner, Daniel
Rok vydání:	2014
Předmět:	Mathematics - Differential Geometry 53C29 53C50 (primary) 53C15 (secondary)
Druh dokumentu:	Working Paper
Popis:	We investigate geometric properties of indecomposable but non-irreducible Lorentzian manifolds, which are total spaces of circle bundles. We investigate under which conditions these manifolds are complete and give examples which fulfill the obtained conditions. In particular we investigate the Einstein equation for these spaces yielding examples for complete compact Ricci flat Lorentzian manifolds and manifolds with timelike Killing vector fields. Finally we study their holonomy and obtain in particular complete examples for Lorentzian manifolds with holonomy of so called type 4. Comment: 26 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1409.2741 Zobrazit plný text záznamu View this record from Arxiv