Embedded cmc hypersurfaces on hyperbolic spaces

Details Embedded cmc hypersurfaces on hyperbolic spaces Embedded cmc hypersurfaces on hyperbolic spaces

2009-03-28

arxiv.org/abs/0903.4934v1

Mathematics

Differential Geometry

14 pages, 8 figures

Scientific paper

In this paper we will prove that for every integer n>1, there exists a real number H_0<-1 such that every H\in (-\infty,H_0) can be realized as the mean curvature of a embedding of H^{n-1}\times S^1 in the (n+1)-dimensional spaces H^{n+1}. For $n=2$ we explicitly compute the value H_0. For a general value n, we provide function \xi_n defined on (-\infty,-1), which is easy to compute numerically, such that, if \xi_n(H)>-2\pi, then, H can be realized as the mean curvature of a embedding of H^{n-1}\times S^1 in the (n+1)-dimensional spaces H^{n+1}.

Affiliated with

Also associated with

No associations

Rating

Embedded cmc hypersurfaces on hyperbolic spaces 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 Embedded cmc hypersurfaces on hyperbolic spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Embedded cmc hypersurfaces on hyperbolic spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-188153