The geometry of 3-quasi-Sasakian manifolds

Details The geometry of 3-quasi-Sasakian manifolds The geometry of 3-quasi-Sasakian manifolds

2008-01-11

arxiv.org/abs/0801.1818v2

Internat. J. Math. 20 (2009), 1081-1105.

Mathematics

Differential Geometry

22 pages, LaTeX, to appear in Internat. J. Math

Scientific paper

10.1142/S0129167X09005662

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. This paper throws new light on their geometric structure which reveals to be generally richer compared to the 3-Sasakian subclass. In fact, it turns out that they are multiply foliated by four distinct fundamental foliations. The study of the transversal geometries with respect to these foliations allows us to link the 3-quasi-Sasakian manifolds to the more famous hyper-Kaehler and quaternionic-Kaehler geometries. Furthermore, we strongly improve the splitting results previously found; we prove that any 3-quasi-Sasakian manifold of rank 4l+1 is 3-cosymplectic and any 3-quasi-Sasakian manifold of maximal rank is 3-alpha-Sasakian.

Affiliated with

Also associated with

No associations

Rating

The geometry of 3-quasi-Sasakian manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The geometry of 3-quasi-Sasakian manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The geometry of 3-quasi-Sasakian manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-548361