Rotationally invariant constant mean curvature surfaces in homogeneous 3-manifolds

@article{Torralbo2009RotationallyIC,
  title={Rotationally invariant constant mean curvature surfaces in homogeneous 3-manifolds},
  author={Francisco Torralbo},
  journal={Differential Geometry and Its Applications},
  year={2009},
  volume={28},
  pages={593-607}
}
Abstract We classify constant mean curvature surfaces invariant by a 1-parameter group of isometries in the Berger spheres and in the special linear group Sl ( 2 , R ) . In particular, all constant mean curvature spheres in those spaces are described explicitly, proving that they are not always embedded. Besides new examples of Delaunay-type surfaces are obtained. Finally the relation between the area and volume of these spheres in the Berger spheres is studied, showing that, in some cases… Expand

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