实射影空间中标号为一的紧致极小超曲面及其宽度
微分几何
2019-07-30 v2
摘要
我们刻画了任意维实射影空间的第一极小极大宽度。该宽度是在 Clifford 超曲面上的最小面积。我们还计算了复射影空间和四元数射影空间中 Clifford 超曲面的 Morse 指标。
引用
@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}
}
备注
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)