Bi-Legendrian manifolds and paracontact geometry

Details Bi-Legendrian manifolds and paracontact geometry Bi-Legendrian manifolds and paracontact geometry

2007-08-15

arxiv.org/abs/0708.1999v5

Mathematics

Differential Geometry

to appear in Int. J. Geom. Meth. Mod. Phys

Scientific paper

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.

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