The rigidity of embedded constant mean curvature surfaces

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.

10 pages

Cited by in corpus (1)

• The number of constant mean curvature isometric immersions of a surface