In mathematics, the Mostow–Palais theorem is an equivariant version of the Whitney embedding theorem. It states that if a manifold is acted on by a compactLie group with finitely many orbit types, then it can be embedded into some finite-dimensional orthogonal representation. It was introduced by Mostow (1957) and Palais (1957).
mostow, palais, theorem, mathematics, equivariant, version, whitney, embedding, theorem, states, that, manifold, acted, compact, group, with, finitely, many, orbit, types, then, embedded, into, some, finite, dimensional, orthogonal, representation, introduced,. In mathematics the Mostow Palais theorem is an equivariant version of the Whitney embedding theorem It states that if a manifold is acted on by a compact Lie group with finitely many orbit types then it can be embedded into some finite dimensional orthogonal representation It was introduced by Mostow 1957 and Palais 1957 References EditMostow George D 1957 Equivariant embeddings in Euclidean space Annals of Mathematics Second Series 65 432 446 doi 10 2307 1970055 hdl 2027 mdp 39015095242668 ISSN 0003 486X JSTOR 1970055 MR 0087037 Palais Richard S 1957 Imbedding of compact differentiable transformation groups in orthogonal representations Journal of Mathematics and Mechanics 6 673 678 doi 10 1512 iumj 1957 6 56037 MR 0092927 This topology related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Mostow Palais theorem amp oldid 1018104598, wikipedia, wiki, book, books, library,
