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arXiv · 0708.1999

Bi-Legendrian manifolds and paracontact geometry

Beniamino Cappelletti Montano
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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.

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Beniamino Cappelletti Montano. 2009-01-24. Bi-Legendrian manifolds and paracontact geometry. https://doi.org/10.1142/s0129167x09005662

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