A general halfspace theorem for constant mean curvature surfaces

Details A general halfspace theorem for constant mean curvature surfaces A general halfspace theorem for constant mean curvature surfaces

2010-07-15

arxiv.org/abs/1007.2559v3

Mathematics

Differential Geometry

3 figures, sign mistakes at the beginning of Section 6 are corrected

Scientific paper

In this paper, we prove a general halfspace theorem for constant mean curvature surfaces. Under certain hypotheses, we prove that, in an ambient space M^3, any constant mean curvature H_0 surface on one side of a constant mean curvature H_0 surface \Sigma_0 is an equidistant surface to \Sigma_0. The main hypotheses of the theorem are that \Sigma_0 is parabolic and the mean curvature of the equidistant surfaces to \Sigma_0 evolves in a certain way.

Affiliated with

Also associated with

No associations

Rating

A general halfspace theorem for constant mean curvature surfaces 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 A general halfspace theorem for constant mean curvature surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A general halfspace theorem for constant mean curvature surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-599333