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arXiv · 1312.3266

Small Perturbations and Infinitesimal Deformations on Surfaces of Revolution

Ricardo Berlanga·Maria de los Angeles Sandoval-Romero
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Abstract

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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Ricardo Berlanga, Maria de los Angeles Sandoval-Romero. 2013-12-11. Small Perturbations and Infinitesimal Deformations on Surfaces of Revolution. https://arxiv.org/abs/1312.3266

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