Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor

Details Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor

2012-04-06

arxiv.org/abs/1204.1484v1

Mathematics

Differential Geometry

20 pages, 1 figure

Scientific paper

We introduce the notion of bi-conservative hypersurfaces, that is
hypersurfaces with conservative stress-energy tensor with respect to the
bienergy. We give the (local) classification of bi-conservative surfaces in
3-dimensional space forms.

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