%0 Journal Article
%A Díaz-Cano Ocaña, Antonio
%A Gonzalez Gascón, F.
%A Peralta Salas, Daniel
%T Symmetric submersions of R-n -> R-m
%D 2007
%@ 0362-546X
%U https://hdl.handle.net/20.500.14352/49877
%X Submersions f such that f(-1)(0) contains a given fiber F, and that are invariant under a family of vector fields s leaving F invariant, are constructed. Examples for which a submersion of this kind cannot exist are also given. In the absence of a geometric theory of submersions f invariant under s, most of our treatment is analytic.
%~