Translation of: Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques, Mathematische Zeitschrift 45, 335–367 (1939), by Élie Cartan.

Authors

Thomas E. Cecil, College of the Holy CrossFollow

Document Type

Article

Publication Date

2-27-2023

Department

Mathematics

Abstract

English title: On remarkable families of isoparametric hypersurfaces in spherical spaces

This is an English translation of the article "Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques," which was originally published in Mathematische Zeitschrift 45, 335–367 (1939), by Élie Cartan.

A note from Thomas E. Cecil, translator: This is an unofficial translation of the original paper which was written in French. All references should be made to the original paper.

Mathematics Subject Classification Numbers: 53B25, 53C40, 53C42

Published Article/Book Citation

Élie Cartan, Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques. Mathematische Zeitschrift, 45 (1939), 335–367.

Repository Citation

Cecil, Thomas E., "Translation of: Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques, Mathematische Zeitschrift 45, 335–367 (1939), by Élie Cartan." (2023). Mathematics Department Faculty Scholarship. 18.
https://crossworks.holycross.edu/math_fac_scholarship/18