Compact minimal hypersurfaces of index one and the width of real projective spaces
arXiv:1902.08221
Abstract
We characterize the first min-max width of real projective spaces of any dimension. The width is the minimum area over the Clifford hypersurfaces. We also compute the Morse index of the Clifford hypersurfaces in the complex and quaternionic projective spaces.
11 pages. We added the characterization of the first width of real projective spaces of any dimension. New title. (the result on complex projective spaces was removed due to an incorrect calculation)