On the Convergence of Axially Symmetric Volume Preserving Mean Curvature Flow

Details On the Convergence of Axially Symmetric Volume Preserving Mean Curvature Flow On the Convergence of Axially Symmetric Volume Preserving Mean Curvature Flow

2011-08-30

arxiv.org/abs/1108.5849v1

Mathematics

Differential Geometry

12 pages, 2 figures

Scientific paper

We study the convergence of an axially symmetric hypersurface evolving by volume preserving mean curvature flow. Assuming the surface is not pinching off along the axis at any time during the flow, and without any additional conditions, as for example on the curvature, we prove that it converges to a hemisphere, when the hypersurface has a free boundary and satisfies Neumann boundary data, and to a sphere when it is compact without boundary.

Affiliated with

Also associated with

No associations

Rating

On the Convergence of Axially Symmetric Volume Preserving Mean Curvature Flow 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 On the Convergence of Axially Symmetric Volume Preserving Mean Curvature Flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Convergence of Axially Symmetric Volume Preserving Mean Curvature Flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-728819