paper

Rotational Linear Weingarten Surfaces into the Euclidean Sphere

arXiv:1012.4352

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.

9 pages, 6 figures

Rotational Linear Weingarten Surfaces into the Euclidean Sphere · wovepaper