1. What are the known cases where a group of isomorphisms of a smooth manifolds (diffeomorphisms that respect a given structure on the manifold) is a Lie group? such as: isometries of a compact reimannian manifold, symplectomorphisms of a symplectic manifold...
  2. What are the known cases where the diffeomorphism group $\mathrm{Diff}(M)$ of a compact manifold is a Lie group (infinite-dimensional)?

Thanks for your help!


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.