空间形式中超曲面的欧拉示性数及其在等参超曲面上的应用
微分几何
2021-09-08 v2
摘要
我们重访 Allendoerfer-Weil 关于常截面曲率流形中嵌入超曲面欧拉示性数的公式，先花些时间借助文献 [2] 的技术重新证明它，再将其应用于对等参超曲面获得新的理解。
引用
@article{arxiv.2102.08712,
title = {The Euler characteristic of hypersurfaces in space forms and applications to isoparametric hypersurfaces},
author = {R. Albuquerque},
journal= {arXiv preprint arXiv:2102.08712},
year = {2021}
}
备注
New formulation of Theorem 7.5 and a new remark before Theorem 7.6; accepted for publication in the Pacific Journal of Mathematics; article started in Portugal, announced in Spain, finished in China and published in California, USA. The author dedicates this work to the commemorations of the 500th anniversary of the first global circumnavigation voyage by the Portuguese and Spanish navigators