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
