Translator Disclaimer
VOL. 8 | 2007 The Biharmonic Stress-Energy Tensor and the Gauss Map
Eric Loubeau, Stefano Montaldo, Cezar Oniciuc

Editor(s) Ivaïlo M. Mladenov, Manuel de León

Abstract

We consider the energy and bienergy functionals as variational problems on the set of Riemannian metrics and present a study of the bi- harmonic stress-energy tensor. This approach is then applied to characterize weak conformality of the Gauss map of a submanifold. Finally, working at the level of functionals, we recover a result of Weiner linking Willmore surfaces and pseudo-umbilicity.

Information

Published: 1 January 2007
First available in Project Euclid: 13 July 2015

zbMATH: 1118.53042
MathSciNet: MR2341207

Digital Object Identifier: 10.7546/giq-8-2007-234-245

Rights: Copyright © 2007 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

PROCEEDINGS ARTICLE
12 PAGES


SHARE
Back to Top