The Ricci flow on manifolds with boundary
The Ricci flow on manifolds with boundary
We study the short-time existence and regularity of solutions to a boundary value problem for the Ricciā€“DeTurck equation on a manifold with boundary. Using this, we prove the short-time existence and uniqueness of the Ricci flow prescribing the mean curvature and conformal class of the boundary, with arbitrary initial data. ā€¦