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arxiv: 1204.1484 · v2 · pith:QM3NRFGLnew · submitted 2012-04-06 · 🧮 math.DG

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

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

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