English

Orthogonal Asymptotic Lines on Surfaces Immersed in $\mathbf R ^4$

Dynamical Systems 2007-05-23 v1 Differential Geometry

Abstract

In this paper we study some properties of surfaces immersed in R4\mathbf R ^4 whose asymptotic lines are orthogonal. We also analyze necessary and sufficient conditions for the hypersphericity of surfaces in R4\mathbf R ^4.

Keywords

Cite

@article{arxiv.math/0606245,
  title  = {Orthogonal Asymptotic Lines on Surfaces Immersed in $\mathbf R ^4$},
  author = {Luis Fernando Mello},
  journal= {arXiv preprint arXiv:math/0606245},
  year   = {2007}
}

Comments

19 pages

R2 v1 2026-07-22T17:37:14.591Z