It is proved that any equivariant mapping between G-manifolds (G a Lie group), with a closed associated differential form, is transversal to the orbit of any point in its image up to a G-invariant subspace of the tangent space.
Cite this article
Marc Lesimple, Tullio Valent, Transversality of equivariant mappings with closed associated differential forms on <em>G</em>-manifolds. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 19 (2008), no. 3, pp. 199–204DOI 10.4171/RLM/518