Exotic Minimal Surfaces

Details Exotic Minimal Surfaces Exotic Minimal Surfaces

2010-04-15

arxiv.org/abs/1004.2656v1

Mathematics

Differential Geometry

16 pages, 3 figures

Scientific paper

We prove a general fusion theorem for complete orientable minimal surfaces in $\mathbb{R}^3$ with finite total curvature. As a consequence, complete orientable minimal surfaces of weak finite total curvature with exotic geometry are produced. More specifically, universal surfaces (i.e., surfaces from which all minimal surfaces can be recovered) and space-filling surfaces with arbitrary genus and no symmetries.

Affiliated with

Also associated with

No associations

Rating

Exotic Minimal 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 Exotic Minimal Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exotic Minimal Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-380279