Bi-Legendrian connections

Beniamino Cappelletti Montano. "Bi-Legendrian connections." Annales Polonici Mathematici 86.1 (2005): 79-95. <http://eudml.org/doc/280560>.

@article{BeniaminoCappellettiMontano2005,
abstract = {We define the concept of a bi-Legendrian connection associated to a bi-Legendrian structure on an almost -manifold $M^\{2n+r\}$. Among other things, we compute the torsion of this connection and prove that the curvature vanishes along the leaves of the bi-Legendrian structure. Moreover, we prove that if the bi-Legendrian connection is flat, then the bi-Legendrian structure is locally equivalent to the standard structure on $ℝ^\{2n+r\}$.},
author = {Beniamino Cappelletti Montano},
journal = {Annales Polonici Mathematici},
keywords = {almost -structure; Legendrian foliation; bi-Legendrian connection},
language = {eng},
number = {1},
pages = {79-95},
title = {Bi-Legendrian connections},
url = {http://eudml.org/doc/280560},
volume = {86},
year = {2005},
}

TY - JOUR
AU - Beniamino Cappelletti Montano
TI - Bi-Legendrian connections
JO - Annales Polonici Mathematici
PY - 2005
VL - 86
IS - 1
SP - 79
EP - 95
AB - We define the concept of a bi-Legendrian connection associated to a bi-Legendrian structure on an almost -manifold $M^{2n+r}$. Among other things, we compute the torsion of this connection and prove that the curvature vanishes along the leaves of the bi-Legendrian structure. Moreover, we prove that if the bi-Legendrian connection is flat, then the bi-Legendrian structure is locally equivalent to the standard structure on $ℝ^{2n+r}$.
LA - eng
KW - almost -structure; Legendrian foliation; bi-Legendrian connection
UR - http://eudml.org/doc/280560
ER -