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arxiv: 1012.4352 · v2 · pith:6PVJSPWBnew · submitted 2010-12-20 · 🧮 math.DG

Rotational Linear Weingarten Surfaces into the Euclidean Sphere

classification 🧮 math.DG
keywords lineareuclideanrotationalspheresurfacesweingartencharacterizedcomplete
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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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