Rigidity of Convex Surfaces in Homogeneous Spaces

Details Rigidity of Convex Surfaces in Homogeneous Spaces Rigidity of Convex Surfaces in Homogeneous Spaces

2011-02-26

arxiv.org/abs/1102.5455v1

Mathematics

Differential Geometry

Scientific paper

We prove rigidity of oriented isometric immersions of complete surfaces in
the homo- geneous 3-manifolds E(k; {\tau}) (different from the space forms)
having the same positive extrinsic curvature.

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