The rigidity of embedded constant mean curvature surfaces
نویسنده
چکیده
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. Mathematics Subject Classification: Primary 53A10, Secondary 49Q05, 53C42
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