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arXiv 2013-12-11 0 views

Small Perturbations and Infinitesimal Deformations on Surfaces of Revolution

Berlanga, Ricardo · Sandoval-Romero, Maria de los Angeles

Original · EN

Any given surface of revolution embedded in Euclidean three-space can always be perturbed by arbitrarily small ambient isotopies as to admit highly nontrivial vector fields inducing infinitesimal deformations. For this matter Morse Theory is used, clarifying and giving a general response of a problem started with an idea of M. Spivak.

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