Rigidity of Convex Surfaces in Homogeneous Spaces
classification
🧮 math.DG
keywords
rigiditysurfacescompleteconvexcurvaturedifferentextrinsicforms
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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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