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.
Legendrian foliations on almost S-manifolds
CAPPELLETTI MONTANO, BENIAMINO
2005
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.
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