1,242 research outputs found
The rigidity of embedded constant mean curvature surfaces
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.Comment: 10 page
Existence of regular neighborhoods for H-surfaces
In this paper, we study the global geometry of complete, constant mean
curvature hypersurfaces embedded in n-manifolds. More precisely, we give
conditions that imply properness of such surfaces and prove the existence of
fixed size one-sided regular neighborhoods for certain constant mean curvature
hypersurfaces in certain n-manifolds.Comment: 11 page
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