Constant Angle Surfaces in Lorentzian Berger Spheres

Autor(es)

Onnis, Irene I. ^[1] ; Passamani, Apoena Passos ^[2] ; Piu, Paola ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Matemat, ICMC, CP 668, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Fed Espirito Santo, Dept Matemat, BR-29075910 Vitoria, ES - Brazil

^[3] Univ Cagliari, Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari - Italy

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF GEOMETRIC ANALYSIS; v. 29, n. 2, p. 1456-1478, APR 2019.
• Citações Web of Science: 1

Resumo

In this work, we study helix spacelike and timelike surfaces in the Lorentzian Berger sphere S-epsilon(3), that is the three-dimensional sphere endowed with a 1-parameter family of Lorentzian metrics, obtained by deforming the round metric on S-3 along the fibers of the Hopf fibration S-3 -> S-2(1/2) by -epsilon(2). Our main result provides a characterization of the helix surfaces in S-epsilon(3) using the symmetries of the ambient space and a general helix in S-epsilon(3), with axis the infinitesimal generator of the Hopf fibers. Also, we construct some explicit examples of helix surfaces in S-epsilon(3). (AU)

• Processo FAPESP: 16/24707-4 - Topologia algébrica, geométrica e diferencial
• Beneficiário: Daciberg Lima Gonçalves
• Modalidade de apoio: Auxílio à Pesquisa - Temático