The biharmonic stress-energy tensor and the Gauss map
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We consider the energy and bienergy functionals as variational problems on the set of Riemannian metrics and present a study of the biharmonic stress-energy tensor. This approach is then applied to characterise 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.
Keywords
Cite
@article{arxiv.math/0609661,
title = {The biharmonic stress-energy tensor and the Gauss map},
author = {E. Loubeau and S. Montaldo and C. Oniciuc},
journal= {arXiv preprint arXiv:math/0609661},
year = {2007}
}
Comments
Contribution to the Proceedings of the Eighth International Conference on Geometry, Integrability and Quantization, Varna 2006