In this paper we extend the concept of Legendrian foliation to almost S- manifolds, generalizing the definition both of Legendrian foliations on contact metric manifolds and of Lagrangian foliations on symplectic manifolds. A classification of this kind of foliations is given and a study of non-degenerate and Riemannian Legendrian foliations on almost S-manifolds is carried out. Moreover we study bi-Legendrian structures and a canonical connection associated to them.
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Titolo: | Legendrian foliations on almost S-manifolds |
Autori: | |
Data di pubblicazione: | 2005 |
Rivista: | |
Abstract: | In this paper we extend the concept of Legendrian foliation to almost S- manifolds, generalizing the definition both of Legendrian foliations on contact metric manifolds and of Lagrangian foliations on symplectic manifolds. A classification of this kind of foliations is given and a study of non-degenerate and Riemannian Legendrian foliations on almost S-manifolds is carried out. Moreover we study bi-Legendrian structures and a canonical connection associated to them. |
Handle: | http://hdl.handle.net/11584/21232 |
Tipologia: | 1.1 Articolo in rivista |
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