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.

Biconservative surfaces in BCV-spaces

Montaldo, Stefano
;
ONNIS, IRENE IGNAZIA;
2017-01-01

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.
2017
53C30; 58E20; BCV spaces; Biconservative surfaces; CMC surfaces; Constant angle surfaces; Homogeneous spaces; Mathematics (all)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/232825
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