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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On infinitesimal isometric deformations


Author: Keti Tenenblat
Journal: Proc. Amer. Math. Soc. 75 (1979), 269-275
MSC: Primary 53B25
MathSciNet review: 532149
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Abstract: We consider an analytic n-dimensional submanifold M of the Euclidean space $ {E^N}$, where $ N = n(n + 1)/2$, and we prove the existence of analytic, nontrivial, infinitesimal isometric deformations, in a neighborhood of any point of M, which admits a nonasymptotic tangent hyperplane.


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  • [5] Keti Tenenblat, On characteristic hypersurfaces of submanifolds in Euclidean space, Pacific J. Math. 74 (1978), no. 2, 507–517. MR 494646

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DOI: https://doi.org/10.1090/S0002-9939-1979-0532149-6
Article copyright: © Copyright 1979 American Mathematical Society