1
$\begingroup$

Assume M is a closed manifold. Does the set of smooth foliations on M form a Frechet submanifold inside the Frechet manifold consisting of smooth distributions?

If not, can the set of smooth foliations(which is a closed set in the space of smooth distributions) atleast be expressed as a retract of some open set?

Improve this question
$\endgroup$
1
  • $\begingroup$ I've recently worked on this problem - The set of foliations does indeed form a Frechet manifold. I'll write an answer with details later. $\endgroup$
    – Harshavardhan
    Apr 16, 2019 at 10:43

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.