Small Perturbations and Infinitesimal Deformations on Surfaces of Revolution
Differential Geometry
2014-03-26 v2
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.
Keywords
Cite
@article{arxiv.1312.3266,
title = {Small Perturbations and Infinitesimal Deformations on Surfaces of Revolution},
author = {Ricardo Berlanga and Maria de los Angeles Sandoval-Romero},
journal= {arXiv preprint arXiv:1312.3266},
year = {2014}
}
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14 pages