2026-05-30T09:45:56Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/310872026-02-03T11:00:01Zcom_10630_2254col_10630_37953

Smooth actions of connected compact Lie groups with a free point are determined by two vector fields Turiel-Sandín, Francisco Javier Viruel-Arbaizar, Antonio Ángel Algebra de vectores Consider a smooth action of a compact connected Lie group G on a connected manifold M. Assume the existence of a point of M whose isotropy group has a single element (a free point). Then we prove that there exist two complete vector field such that their group of automorphisms equals G regarded as a group of diffeomorphisms of M (the existence of a free point implies that the action of G is effective). Moreover, some examples of effective actions with no free point where this result fails are exhibited. 2024-04-18T12:31:57Z 2024-04-18T12:31:57Z 2024-04-10 journal article Francisco-Javier Turiel, Antonio Viruel, Smooth actions of connected compact Lie groups with a free point are determined by two vector fields, Journal of Geometry and Physics, Volume 201, 2024, 105196, ISSN 0393-0440 https://hdl.handle.net/10630/31087 10.1016/j.geomphys.2024.105196 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier