On Cartan’s Examples of Isoparametric Hypersurfaces and Their Focal Submanifolds

Authors

Thomas E. Cecil, College of the Holy CrossFollow
Patrick J. Ryan, McMaster UniversityFollow

Document Type

Article

Publication Date

2-14-2026

Department

Mathematics

Abstract

This paper is a survey of Cartan’s examples of isoparametric hypersurfaces in spheres and their focal submanifolds that were described in his fundamental work on the subject, which appeared in four papers [2]–[5] published during the period 1938–1940.

Comments

The Mathematics Subject Classification classification numbers are: 53B25, 53C40, 53C42

DOI

https://doi.org/10.48550/arXiv.2602.06745

Repository Citation

Cecil, Thomas E. and Ryan, Patrick J., "On Cartan’s Examples of Isoparametric Hypersurfaces and Their Focal Submanifolds" (2026). Mathematics and Computer Science Department Faculty Scholarship. 27.
https://crossworks.holycross.edu/math_fac_scholarship/27