HyperKahler contact Distribution in 3-Sasakain Manifolds

Details HyperKahler contact Distribution in 3-Sasakain Manifolds HyperKahler contact Distribution in 3-Sasakain Manifolds

2012-04-16

arxiv.org/abs/1204.3407v2

Mathematics

Metric Geometry

Scientific paper

In this paper, the HyperKahler contact distribution of a 3-Sasakian manifold is studied. To analyze the curvature properties of this distribution, the special metric connection $\bar{\nabla}$ is defined. This metric connection is completely determined by HyperKahler contact distribution. We prove that HyperKahler contact distribution is of constant holomorphic sectional curvatures if and only if its 3-Sasakian manifold is of constant $\varphi_{\alpha}$-sectional curvatures. Moreover, it is shown that there is an interesting relation between the sectional curvatures of $\varphi_{\alpha}$-planes on $TM$ of metric connection $\bar{\nabla}$ and the Levi-Civita connection.

Affiliated with

Also associated with

No associations

Rating

HyperKahler contact Distribution in 3-Sasakain 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 HyperKahler contact Distribution in 3-Sasakain Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and HyperKahler contact Distribution in 3-Sasakain Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6147