Special Weingarten surfaces foliated by circles

Details Special Weingarten surfaces foliated by circles Special Weingarten surfaces foliated by circles

2006-07-28

arxiv.org/abs/math/0607749v1

Mathematics

Differential Geometry

17 pages

Scientific paper

In this paper we study surfaces in Euclidean 3-space foliated by pieces of
circles and that satisfy a Weingarten condition of type $a H+b K=c$, where
$a,b$ and $c$ are constant and $H$ and $K$ denote the mean curvature and the
Gauss curvature respectively. We prove that a such surface must be a surface of
revolution, a Riemann minimal surface or a generalized cone.

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