Splitting theorems in presence of an irrotational vector field

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

New splitting theorems in a semi-Riemannian manifold which admits an irrotational vector field (not necessarily a gradient) with some suitable properties are obtained. According to the extras hypothesis assumed on the vector field, we can get twisted, warped or direct decompositions. Some applications to Lorentzian manifold are shown and also $\mathbf{S}^{1}\times L$ type decomposition is treated.
14 pages

Keywords

Differential Geometry, 53C50; 53C20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/67864

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306343
 http://arxiv.org/abs/math/0306343

Collections

arXiv