RT Journal Article
T1 Smooth actions of connected compact Lie groups with a free point are determined by two vector fields
A1 Turiel-Sandín, Francisco Javier
A1 Viruel-Arbaizar, Antonio Ángel
K1 Algebra de vectores
AB 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.
PB Elsevier
YR 2024
FD 2024-04-10
LK https://hdl.handle.net/10630/31087
UL https://hdl.handle.net/10630/31087
LA eng
NO 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
NO Funding for open accesscharge: Universidad deMálaga / CBUAThe first author was partially supported AEI (Spain) grant PID2020-118452GB-I00/AEI/10.13039/501100011033. The second author was partially supported by AEI (Spain) grant PID2020-118753GB-I00/AEI/10.13039/501100011033, and by PAIDI 2020 (Andalusia) grant PROYEXCEL-00827.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026