Quotient of manifolds by groups and embeddings - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T01:04:33Z http://mathoverflow.net/feeds/question/37765 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/37765/quotient-of-manifolds-by-groups-and-embeddings Quotient of manifolds by groups and embeddings Workitout 2010-09-04T23:46:23Z 2010-09-06T21:06:16Z <p>Let $f:X_1\to X_2$ be a closed submanifold. Let $\rho:G_1\to G_2$ be a closed Lie subgroup. Let $G_1$ acts on $X_1$ and $G_2$ on $X_2$ and suppose $f$ is $\rho$-equivariant. I would like to get a morphism $\overline{f}:X_1/G_1\to X_2/G_2$ and conditions for $\overline{f}$ to be also a closed embedding. Do you know a reference where I can find this situation treated, in the category of analytic manifolds(or algebraic varieties)?</p>