Density theorems for complete minimal surfaces in R^3

Details Density theorems for complete minimal surfaces in R^3 Density theorems for complete minimal surfaces in R^3

2006-03-31

arxiv.org/abs/math/0603737v3

Mathematics

Differential Geometry

32 pages, 8 figures. To appear in G.A.F.A

Scientific paper

In this paper we have proved several approximation theorems for the family of minimal surfaces in R^3 that imply, among other things, that complete minimal surfaces are dense in the space of all minimal surfaces endowed with the topology of C^k convergence on compact sets, for any k. As a consequence of the above density result, we have been able to produce the first example of a complete proper minimal surface in R^3 with uncountably many ends.

Affiliated with

Also associated with

No associations

Rating

Density theorems for complete minimal surfaces in R^3 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 Density theorems for complete minimal surfaces in R^3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Density theorems for complete minimal surfaces in R^3 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-332573