Bi-Legendrian manifolds and paracontact geometry

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.

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

References in corpus (2)

• 3-Sasakian manifolds, 3-cosymplectic manifolds and Darboux theorem
• 3-quasi-Sasakian manifolds

Cited by in corpus (4)

• A survey on cosymplectic geometry
• Generalizations of 3-Sasakian manifolds and skew torsion
• Curvature properties of 3-quasi-Sasakian manifolds
• Cosymplectic p-spheres