Bi-Legendrian manifolds and paracontact geometry
Differential Geometry
2013-06-18 v5
Abstract
We study the interplays between paracontact geometry and the theory of bi-Legendrian manifolds. We interpret the bi-Legendrian connection of a bi-Legendrian manifold M as the paracontact connection of a canonical paracontact structure induced on M and then we discuss many consequences of this result both for bi-Legendrian and for paracontact manifolds. Finally new classes of examples of paracontact manifolds are presented.
Keywords
Cite
@article{arxiv.0708.1999,
title = {Bi-Legendrian manifolds and paracontact geometry},
author = {Beniamino Cappelletti Montano},
journal= {arXiv preprint arXiv:0708.1999},
year = {2013}
}
Comments
to appear in Int. J. Geom. Meth. Mod. Phys