{"paper":{"title":"Constant angle surfaces in Lorentzian Berger spheres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Apoena Passos Passamani, Irene I. Onnis, Paola Piu","submitted_at":"2017-05-29T09:38:03Z","abstract_excerpt":"In this work, we study helix spacelike and timelike surfaces in the Lorentzian Berger sphere $\\s_{\\varepsilon}^3$, 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 $\\s^3\\to \\s^2({1}/{2})$ by $-\\varepsilon^2$. Our main result provides a characterization of the helix surfaces in $\\s_{\\varepsilon}^3$ using the symmetries of the ambient space and a general helix in $\\s_{\\varepsilon}^3$, with axis the infinitesimal generator of the Hopf fibers. Also, we construct so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10090","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}