Isoperimetric and Weingarten surfaces in the Schwarzschild manifold
نویسندگان
چکیده
منابع مشابه
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In this paper we study surfaces in Euclidean 3-space that satisfy a Weingarten condition of linear type as κ1 = mκ2 + n, where m and n are real numbers and κ1 and κ2 denote the principal curvatures at each point of the surface. We investigate the possible existence of such surfaces parametrized by a uniparametric family of circles. Besides the surfaces of revolution, we prove that not exist mor...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2013
ISSN: 0022-040X
DOI: 10.4310/jdg/1370979333