@misc{10481/66211, year = {2020}, url = {http://hdl.handle.net/10481/66211}, abstract = {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.}, organization = {National Science Foundation (NSF) DMS - 1309236}, organization = {MINECO/FEDER MTM2014-52368-P MTM2017-89677-P MTM2016-80313-P}, organization = {Programa de Apoyo a la Investigacion, Fundacion Seneca-Agencia de Ciencia y Tecnologia Region de Murcia 19461/PI/14}, organization = {Regional J. Andalucia P18-FR-4049}, publisher = {SPRINGER}, title = {Constant mean curvature spheres in homogeneous three-manifolds}, doi = {10.1007/s00222-020-01008-y}, author = {Meeks III, William H. and Pérez Muñoz, Joaquín and Ros Mulero, Antonio}, }