Rotational Linear Weingarten Surfaces into the Euclidean Sphere

Details Rotational Linear Weingarten Surfaces into the Euclidean Sphere Rotational Linear Weingarten Surfaces into the Euclidean Sphere

2010-12-20

arxiv.org/abs/1012.4352v2

Mathematics

Differential Geometry

9 pages, 6 figures

Scientific paper

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.

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