A generalization of Rado's Theorem for almost graphical boundaries

Details A generalization of Rado's Theorem for almost graphical boundaries A generalization of Rado's Theorem for almost graphical boundaries

2005-02-25

arxiv.org/abs/math/0502551v1

Mathematics

Differential Geometry

12 pages, 6 figures, submitted to Math. Zeit

Scientific paper

In this paper, we prove a generalization of Rado's Theorem, a fundamental result of minimal surface theory, which says that minimal surfaces over a convex domain with graphical boundaries must be disks which are themselves graphical. We will show that, for a minimal surface of any genus, whose boundary is "almost graphical" in some sense, that the surface must be graphical once we move sufficiently far from the boundary.

Affiliated with

Also associated with

No associations

Rating

A generalization of Rado's Theorem for almost graphical boundaries 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 generalization of Rado's Theorem for almost graphical boundaries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A generalization of Rado's Theorem for almost graphical boundaries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-303923