Contact pair structures and associated metrics

Details Contact pair structures and associated metrics Contact pair structures and associated metrics

2008-10-28

arxiv.org/abs/0810.5014v1

Differential Geometry - Proceedings of the VIII International Colloquium, World Sci. Publ., 2009, 266--275

Mathematics

Differential Geometry

Scientific paper

We introduce the notion of contact pair structure and the corresponding associated metrics, in the same spirit of the geometry of almost contact structures. We prove that, with respect to these metrics, the integral curves of the Reeb vector fields are geodesics and that the leaves of the Reeb action are totally geodesic. Mreover, we show that, in the case of a metric contact pair with decomposable endomorphism, the characteristic foliations are orthogonal and their leaves carry induced contact metric structures.

Affiliated with

Also associated with

No associations

Rating

Contact pair structures and associated metrics 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 Contact pair structures and associated metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Contact pair structures and associated metrics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485469