| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [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
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRIC ANALYSIS; v. 29, n. 2, p. 1456-1478, APR 2019. |
| Web of Science Citations: | 1 |
| Abstract | |
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) | |
| FAPESP's process: | 16/24707-4 - Algebraic, geometric and differential topology |
| Grantee: | Daciberg Lima Gonçalves |
| Support Opportunities: | Research Projects - Thematic Grants |