A note on minimal surfaces with bounded index

Abstract

For any closed Riemannian three-manifold, we prove that for any sequence of closed embedded minimal surfaces with uniformly bounded index, the genus can only grow at most linearly with respect to the area.

References in corpus (1)

• Minimal hypersurfaces with bounded index

Cited by in corpus (1)

• Morse index, Betti numbers and singular set of bounded area minimal hypersurfaces