Compactness of minimal hypersurfaces with bounded index

Abstract

We prove a compactness result for minimal hypersurfaces with bounded index and volume, which can be thought of as an extension of the compactness theorem of Choi-Schoen (Invent. Math. 1985) to higher dimensions.

17 pages

Cited by in corpus (1)

• Smooth compactness of $f$-minimal hypersurfaces with bounded $f$-index