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EnglishWe 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 that result both for bi-Legendrian and for paracontact manifolds, as a classification of paracontact metric structures. Finally new classes of examples of paracontact manifolds are presented.
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| Titolo: | Bi-Legendrian structures and paracontact geometry |
| Autori: | |
| Data di pubblicazione: | 2009 |
| Rivista: | |
| 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 that result both for bi-Legendrian and for paracontact manifolds, as a classification of paracontact metric structures. Finally new classes of examples of paracontact manifolds are presented. |
| Handle: | http://hdl.handle.net/11584/18586 |
| Tipologia: | 1.1 Articolo in rivista |
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