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arXiv · 1609.04291

Biconservative surfaces in BCV-spaces

Stefano Montaldo·Irene I. Onnis·Apoena Passos Passamani
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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.

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Stefano Montaldo, Irene I. Onnis, Apoena Passos Passamani. 2016-09-14. Biconservative surfaces in BCV-spaces. https://arxiv.org/abs/1609.04291

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