Compactness and generic finiteness for free boundary minimal hypersurfaces, I
Compactness and generic finiteness for free boundary minimal hypersurfaces, I
Given a compact Riemannian manifold with boundary, we prove that the space of embedded, which may be improper, free boundary minimal hypersurfaces with uniform area and Morse index upper bound is compact in the sense of smoothly graphical convergence away from finitely many points. We show that the limit of …