Curvature properties of Lie hypersurfaces in the complex hyperbolic space

Details Curvature properties of Lie hypersurfaces in the complex hyperbolic space Curvature properties of Lie hypersurfaces in the complex hyperbolic space

2009-08-24

arxiv.org/abs/0908.3419v1

Mathematics

Differential Geometry

15 pages

Scientific paper

A Lie hypersurface in the complex hyperbolic space is a homogeneous real hypersurface without focal submanifolds. The set of all Lie hypersurfaces in the complex hyperbolic space is bijective to a closed interval, which gives a deformation of homogeneous hypersurfaces from the ruled minimal one to the horosphere. In this paper, we study intrinsic geometry of Lie hypersurfaces, such as Ricci curvatures, scalar curvatures, and sectional curvatures.

Affiliated with

Also associated with

No associations

Rating

Curvature properties of Lie hypersurfaces in the complex hyperbolic space 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 Curvature properties of Lie hypersurfaces in the complex hyperbolic space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature properties of Lie hypersurfaces in the complex hyperbolic space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-698433