A note on regularity and rigidity of co-dimension 1 Sobolev isometric immersions
نویسنده
چکیده
We prove the C regularity and developability of W 2,m Sobolev isometric immersions of m-dimensional domains into R. A corollary is the strong density of smooth mappings in this class when the domain is convex. We also prove that any W -isometric immersion of S inside S is a rigid motion.
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