具有四个主曲率的等参超曲面，IV
微分几何
2017-06-06 v2
摘要
我们证明了一个具有四个主曲率且重数对为的等参超曲面，要么是Ozeki和Takeuchi构造的那个，要么是Ferus、Karcher和Münzner构造的两个之一。这完成了É. Cartan在20世纪30年代末发起的球面中等参超曲面的分类。
引用
@article{arxiv.1605.00976,
title = {Isoparametric hypersurfaces with four principal curvatures, IV},
author = {Quo-Shin Chi},
journal= {arXiv preprint arXiv:1605.00976},
year = {2017}
}
备注
68 pages. Appendix II, which handles the anomalous case in an ad hoc fashion, in the previous version is now removed with the availability of the preprint entitled "Orthogonal multiplications of type $[3, 4, p], p\leq 12$", arXiv:1705.04762. Accordingly, the Introduction and Section 7, up to and including Remark 7.3., are slightly reworded with no change in all conclusions