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: 
CAPPELLETTI MONTANO, BENIAMINO
Data di pubblicazione: 2005
Rivista: 
BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS  
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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http://hdl.handle.net/11584/21232
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