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 three-dimensional space forms.
Surfaces in three-dimensional space forms with divergence-free stress-bienergy tensor
CADDEO, RENZO ILARIO;MONTALDO, STEFANO;PIU, MARIA PAOLA
2014-01-01
Abstract
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 three-dimensional space forms.
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