1
$\begingroup$
  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!

$\endgroup$

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.