The structure of AK_2-manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study special almost Kaehler manifolds whose curvature tensor satisfies the second curvature condition of Gray. It is shown that for such manifolds, the torsion of the first canonical Hermitian is parallel. This enables us to show that every AK_2-manifold has parallel torsion. Some applications of this result, concerning the existence of orthogonal almost Kaehler structures on spaces of constant curvature are given.
13 pages latex 2e

Keywords

Differential Geometry, 53B20, 53C25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/66308

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301228
 http://arxiv.org/abs/math/0301228

Collections

arXiv