Construction of Triply Periodic Minimal Surfaces

Details Construction of Triply Periodic Minimal Surfaces Construction of Triply Periodic Minimal Surfaces

2010-02-25

arxiv.org/abs/1002.4805v3

Mathematics

Differential Geometry

The paper has been removed so that it could be uploaded correctly!

Scientific paper

Given a tiling $\mathcal{T}$ of the plane by straight edge polygons, which is invariant by two independent translations, we construct a family of embedded triply periodic minimal surfaces which desingularizes $\mathcal{T}\times\mathbb{R}$. For this purpose, inspired by the work of Martin Traizet, we open the nodes of singular Riemann surfaces to glue together simply periodic Karcher saddle towers, each placed at a vertex of the tiling in such a way that its wings go along the corresponding edges of the tiling ending at that vertex.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-380143