Mazzeo, RafePelayo, AlvaroRatiu, Tudor S.2015-05-292015-05-292015-05-29201510.1016/j.geomphys.2014.07.012https://infoscience.epfl.ch/handle/20.500.14299/114523WOS:000347760000024A classical theorem of Frankel for compact Kahler manifolds states that a Kahler S-1-action is Hamiltonian if and only if it has fixed points. We prove a metatheorem which says that when the Hodge theory holds on non-compact manifolds, Frankel's theorem still holds. Finally, we present several concrete situations in which the assumptions of the metatheorem hold. (C) 2014 Elsevier B.V. All rights reserved.Symplectic structureHamiltonian actionL-2-cohomologytext::journal::journal article::research article