Biconservative surfaces in BCV-spaces

Autor(es)

Montaldo, Stefano ^[1] ; Onnis, Irene I. ^[2] ; Passamani, Apoena Passos ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Mathematische Nachrichten; v. 290, n. 16, p. 2661-2672, NOV 2017.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 15/00692-5 - Superfícies bi-harmônicas de variedades Riemanniana tridimensionais
• Beneficiário: Irene Ignazia Onnis
• Modalidade de apoio: Auxílio à Pesquisa - Regular