Compact minimal hypersurfaces of index one and the width of real projective spaces
Differential Geometry
2019-07-30 v2
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.
Cite
@article{arxiv.1902.08221,
title = {Compact minimal hypersurfaces of index one and the width of real projective spaces},
author = {Alejandra Ramírez Luna},
journal= {arXiv preprint arXiv:1902.08221},
year = {2019}
}
Comments
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)