Handle Addition for doubly-periodic Scherk Surfaces

Details Handle Addition for doubly-periodic Scherk Surfaces Handle Addition for doubly-periodic Scherk Surfaces

2010-07-30

arxiv.org/abs/1007.5478v1

Mathematics

Differential Geometry

44 pages, 13 figures

Scientific paper

We prove the existence of a family of embedded doubly periodic minimal
surfaces of (quotient) genus $g$ with orthogonal ends that generalizes the
classical doubly periodic surface of Scherk and the genus-one Scherk surface of
Karcher. The proof of the family of immersed surfaces is by induction on genus,
while the proof of embeddedness is by the conjugate Plateau method.

Affiliated with

Also associated with

No associations

Rating

Handle Addition for doubly-periodic Scherk 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 Handle Addition for doubly-periodic Scherk Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Handle Addition for doubly-periodic Scherk Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-701129