IJPAM: Volume 95, No. 2 (2014)

SMALL PERTURBATIONS AND INFINITESIMAL
DEFORMATIONS ON SURFACES OF REVOLUTION

Ricardo Berlanga$^1$, Ma.de los Ángeles Sandoval-Romero$^2$
$^1$Mathematics and Physics Department
Instituto de Investigaciones en Matemáticas Aplicadas y Sistemas
Universidad Nacional Autónoma de México (UNAM)
04510 México D.F., MÉXICO
$^2$Mathematics Department
Facultad de Ciencias, UNAM
04510 México D.F., MÉXICO


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 generalization of a problem originaly introduced by M. Spivak [#!Spi01!#] in a modern perspective.

Received: March 25, 2014

AMS Subject Classification: 53A05, 53C05

Key Words and Phrases: manifold, surface of revolution, perturbation, bending, infinitesimal deformation, Morse theory

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DOI: 10.12732/ijpam.v95i2.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 95
Issue: 2
Pages: 167 - 180


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