Differential Geometry Working seminar

Faisal Romshoo

The Ebin Slice Theorem

The Ebin Slice Theorem shows the existence of a "slice" for the action of the group of diffeomorphisms $\textrm{Diff}(M)$ on the space of Riemannian metrics $\mathcal{R}(M)$ for a closed smooth manifold $M$. We will see a proof of the existence of a slice in the finite-dimensional case and if time permits, we will go through the generalization of the proof to the infinite-dimensional setting.

MC 5417