Connections functorially attached to almost complex product structures
| dc.creator | Etayo, Fernando | |
| dc.creator | Santamaría, Rafael | |
| dc.date | 2005-02-15 | |
| dc.date | 2006-03-27 | |
| dc.date.accessioned | 2026-07-07T13:09:07Z | |
| dc.date.available | 2026-07-07T13:09:07Z | |
| dc.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. | |
| dc.description | sections 3 and 4 rewritten and simplified, added subsection 4.1 and updated references | |
| dc.identifier | https://arxiv.org/abs/math/0502319 | |
| dc.identifier | http://arxiv.org/abs/math/0502319 | |
| dc.identifier | Houston J. Math. 35, No. 2, 411-434 (2009) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228632 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A55, 53A60, 53B05, 53C10 | |
| dc.title | Connections functorially attached to almost complex product structures | |
| dc.type | text |