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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Biconservative surfaces in BCV-spaces

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Author(s):
Montaldo, Stefano [1] ; Onnis, Irene I. [2] ; Passamani, Apoena Passos [3]
Total Authors: 3
Affiliation:
[1] Univ Cagliari, Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari - Italy
[2] Univ Sao Paulo, ICMC, Dept Matemat, CP 668, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Fed Espirito Santo, Dept Matemat, BR-29075910 Vitoria, ES - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Mathematische Nachrichten; v. 290, n. 16, p. 2661-2672, NOV 2017.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 15/00692-5 - Biharmonic surfaces in three-dimensional Riemannian manifolds
Grantee:Irene Ignazia Onnis
Support Opportunities: Regular Research Grants