Biconservative surfaces in BCV-spaces
Differential Geometry
2016-09-15 v1
Abstract
Biconservative hypersurfaces are hypersurfaces with conservative stress-energy tensor with respect to the bienergy functional, and form a geometrically interesting family which includes that of biharmonic hypersurfaces. In this paper we study biconservative surfaces in the 3-dimensional Bianchi-Cartan-Vranceanu spaces, obtaining their characterization in the following cases: when they form a constant angle with the Hopf vector field; when they are SO(2)-invariant.
Keywords
Cite
@article{arxiv.1609.04291,
title = {Biconservative surfaces in BCV-spaces},
author = {Stefano Montaldo and Irene I. Onnis and Apoena Passos Passamani},
journal= {arXiv preprint arXiv:1609.04291},
year = {2016}
}
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12 pages