The Alexandrov problem in a quotient space of $\mathbb H^2\times \mathbb R$

Details The Alexandrov problem in a quotient space of $\mathbb H^2\times \mathbb R$ The Alexandrov problem in a quotient space of $\mathbb H^2\times \mathbb R$

2011-11-14

arxiv.org/abs/1111.3087v1

Mathematics

Differential Geometry

Scientific paper

In this paper we prove an Alexandrov type theorem for a quotient space of $\mathbb H^2\times \mathbb R$. More precisely we classify the compact embedded surfaces with constant mean curvature in the quotient of $\mathbb H^2\times \mathbb R$ by a subgroup of isometries generated by a parabolic translation along horocycles of $\mathbb H^2$ and a vertical translation. Moreover, we construct some examples of periodic minimal surfaces in $\mathbb H^2\times \mathbb R$.

Affiliated with

Also associated with

No associations

Rating

The Alexandrov problem in a quotient space of $\mathbb H^2\times \mathbb R$ 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 The Alexandrov problem in a quotient space of $\mathbb H^2\times \mathbb R$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Alexandrov problem in a quotient space of $\mathbb H^2\times \mathbb R$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-216582