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https://hdl.handle.net/10316/11279
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. | URI: | https://hdl.handle.net/10316/11279 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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The geometry of a 3-quasi-Sasakian manifold.pdf | 238.35 kB | Adobe PDF | View/Open |
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