The biharmonic stress-energy tensor and the Gauss map

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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.
Contribution to the Proceedings of the Eighth International Conference on Geometry, Integrability and Quantization, Varna 2006

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Differential Geometry, Mathematical Physics, 58E20; 53C43

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http://salesiana.dossiersoluciones.com/handle/123456789/116634

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609661
 http://arxiv.org/abs/math/0609661

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arXiv