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Title: The geometry of a 3-quasi-Sasakian manifold
Authors: Montano, Beniamino Cappelletti 
Nicola, Antonio de 
Dileo, Giulia 
Keywords: 3-quasi-Sasakian structure; 3-cosymplectic manifold; 3-Sasakian manifold; Foliation; Quaternionic structure
Issue Date: 2007
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 07-38 (2007)
Abstract: 3-quasi-Sasakian manifolds were studied systematically by the authors in a recent paper as a suitable setting unifying 3-Sasakian and 3-cosymplectic geometries. In this paper many geometric properties of this class of almost 3-contact metric manifolds are found. In particular, it is proved that the only 3-quasi-Sasakian manifolds of rank 4l+1 are the 3-cosymplectic manifolds and any 3-quasi-Sasakian manifold of maximal rank is necessarily 3-á-Sasakian. Furthermore, the transverse geometry of a 3-quasi-Sasakian manifold is studied, proving that any 3-quasi- Sasakian manifold admits a canonical transversal, projectable quaternionic-K¨ahler structure and a canonical transversal, projectable 3-á-Sasakian structure.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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