English

$q-$spherical surfaces in Euclidean space

Metric Geometry 2020-06-29 v1

Abstract

In this paper we define qq-spherical surfaces as the surfaces that contain the absolute conic of the Euclidean space as a qq-fold curve. Particular attention is paid to the surfaces with singular points of the highest order. Two classes of such surfaces, with one and two nn-fold points, are discussed in detail. We study their properties, give their algebraic equations and visualize them with the program {\it Mathematica}.

Keywords

Cite

@article{arxiv.2006.14878,
  title  = {$q-$spherical surfaces in Euclidean space},
  author = {Sonja Gorjanc and Ema Jurkin},
  journal= {arXiv preprint arXiv:2006.14878},
  year   = {2020}
}
R2 v1 2026-06-23T16:38:47.117Z