It is shown that for any mapping between Banach spaces which is covariant under a non linear action of a Lie group and have a symmetric first derivative with respect to some duality, the image of any point close to the origin belongs to the polar of the orbit of that point, under the commutator subgroup of the symmetry group.
Cite this article
Marc Lesimple, Tullio Valent, Transversality of covariant mappings admitting a potential. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 18 (2007), no. 2, pp. 117–124DOI 10.4171/RLM/484