English

Helix surfaces in the special linear group

Differential Geometry 2015-01-28 v2

Abstract

We characterize helix surfaces (constant angle surfaces) in the special linear group SL(2,)˚\mathrm{SL}(2,\r). In particular, we give an explicit local description of these surfaces in terms of a suitable curve and a 1-parameter family of isometries of SL(2,)˚\mathrm{SL}(2,\r).

Keywords

Cite

@article{arxiv.1307.0215,
  title  = {Helix surfaces in the special linear group},
  author = {S. Montaldo and I. I. Onnis and A. Passos Passamani},
  journal= {arXiv preprint arXiv:1307.0215},
  year   = {2015}
}

Comments

Minor corrections. To appear in Annali di Matematica Pura e Applicata. arXiv admin note: substantial text overlap with arXiv:1206.1274

R2 v1 2026-06-22T00:43:11.607Z