Special Weingarten Surfaces Foliated by Circles * Msc 2000 Subject Classification: 53a05, 53c40
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چکیده
In this paper we study surfaces in Euclidean 3-space foliated by pieces of circles and that satisfy a Weingarten condition of type aH+bK = 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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تاریخ انتشار 2008