Constant mean curvature spheres in homogeneous three-manifolds Meeks III, William H. Pérez Muñoz, Joaquín Ros Mulero, Antonio We prove that two spheres of the same constant mean curvature in an arbitrary homogeneous three-manifold only differ by an ambient isometry, and we determine the values of the mean curvature for which such spheres exist. 2021-02-02T09:34:56Z 2021-02-02T09:34:56Z 2020 info:eu-repo/semantics/article Meeks, W.H., Mira, P., Pérez, J. et al. Constant mean curvature spheres in homogeneous three-manifolds. Invent. math. (2020). https://doi.org/10.1007/s00222-020-01008-y http://hdl.handle.net/10481/66211 10.1007/s00222-020-01008-y eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España SPRINGER