A conjectura de Willmore: um caso particular

=== In this paper, we prove a particular case of Willmore conjecture, for torus M E3 embedded in Euclidean space E3 as tubes of constant circular sections. For this, we study some properties of the Willmore energy functional, given by W(M) = Z M H2dS. We prove that it is invariant under conformal...

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Bibliographic Details
Main Author: Douglas Claiton dos Passos Freitas
Other Authors: Ezequiel Rodrigues Barbosa
Format: Others
Language:Portuguese
Published: Universidade Federal de Minas Gerais 2013
Online Access:http://hdl.handle.net/1843/EABA-9AJHTZ