English

Normal and tangent maps to frontals

Differential Geometry 2020-12-08 v3

Abstract

The notion of frontals in Euclidean space is introduced and the normal and tangent maps to frontals are studied for both geometrical and dynamical aspects of frontals. Moreover we observe that parallels of the tangent map to a frontal curve is right equivalent to the tangent map of a frontal curve under some natural conditions.

Keywords

Cite

@article{arxiv.2009.06515,
  title  = {Normal and tangent maps to frontals},
  author = {Goo Ishikawa},
  journal= {arXiv preprint arXiv:2009.06515},
  year   = {2020}
}

Comments

13 pages, 1 figures. The errors and formulations in the previous version are revised

R2 v1 2026-06-23T18:31:42.821Z