The rigidity of embedded constant mean curvature surfaces

Details The rigidity of embedded constant mean curvature surfaces The rigidity of embedded constant mean curvature surfaces

2008-01-22

arxiv.org/abs/0801.3409v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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.

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