首页|Delaunay surfaces of prescribed mean curvature in Berger spheres
Delaunay surfaces of prescribed mean curvature in Berger spheres
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NSTL
Elsevier
We obtain a classification result for rotational surfaces in Berger spheres, whose mean curvature is given as a prescribed function of their angle function. Under hypothesis on the prescribed function, we show that these surfaces behave like the Delaunay surfaces of constant mean curvature. The classification is done by means of a phase plane analysis of the ODE fulfilled by the profile curve of such surfaces. (c) 2021 Elsevier B.V. All rights reserved.
Prescribed mean curvatureBerger sphereDelaunay surfaces
NSTL
Elsevier
