English

Rotational Linear Weingarten Surfaces into the Euclidean Sphere

Differential Geometry 2011-03-07 v2

Abstract

The aim of this paper is to present a complete description of all rotational linear Weingarten surface into the Euclidean sphere S3. These surfaces are characterized by a linear relation aH+bK=c, where H and K stand for their mean and Gaussian curvatures, respectively, whereas a; b and c are real constants.

Keywords

Cite

@article{arxiv.1012.4352,
  title  = {Rotational Linear Weingarten Surfaces into the Euclidean Sphere},
  author = {Abdênago Barros and Juscelino Silva and Paulo Sousa},
  journal= {arXiv preprint arXiv:1012.4352},
  year   = {2011}
}

Comments

9 pages, 6 figures

R2 v1 2026-06-21T17:01:38.418Z