Connections functorially attached to almost complex product structures

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Manifolds endowed with three foliations pairwise transversal are known as 3-webs. Equivalently, they can be algebraically defined as biparacomplex or complex product manifolds, i.e., manifolds endowed with three tensor fields of type $(1,1)$, $F$, $P$ and $J=F \circ P$, where the two first are product and the third one is complex, and they mutually anti-commute. In this case, it is well known that there exists a unique torsion-free connection parallelizing the structure. In the present paper, we study connections attached to non-integrable almost biparacomplex manifolds.
sections 3 and 4 rewritten and simplified, added subsection 4.1 and updated references

Keywords

Differential Geometry, 53A55, 53A60, 53B05, 53C10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/228632

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502319
 http://arxiv.org/abs/math/0502319
 Houston J. Math. 35, No. 2, 411-434 (2009)

Collections

arXiv