The rigidity of embedded constant mean curvature surfaces
Differential Geometry
2008-01-23 v1
Abstract
We study the rigidity of complete, embedded constant mean curvature surfaces in R^3. Among other things, we prove that when such a surface has finite genus, then intrinsic isometries of the surface extend to isometries of R^3 or its isometry group contains an index two subgroup of isometries that extend.
Keywords
Cite
@article{arxiv.0801.3409,
title = {The rigidity of embedded constant mean curvature surfaces},
author = {William H. Meeks and Giuseppe Tinaglia},
journal= {arXiv preprint arXiv:0801.3409},
year = {2008}
}
Comments
10 pages