Hi, assume we have an torsionfree connection (not metric!) on an Riemannian manifold $(M, g)$. Then can I flow my connection such that it is metric? Maybe with the Ricci flow?
Regards Florian M.
Hi, assume we have an torsionfree connection (not metric!) on an Riemannian manifold $(M, g)$. Then can I flow my connection such that it is metric? Maybe with the Ricci flow? Regards Florian M. 

