Open Access
September, 2002 Homogeneity of Equifocal Submanifolds
Ulrich Christ
J. Differential Geom. 62(1): 1-15 (September, 2002). DOI: 10.4310/jdg/1090425526


Equifocal submanifolds are an extension of the notion of isoparametric submanifolds in Euclidean spaces to symmetric spaces and consequently they share many of the properties well-known for their isoparametric relatives. An important step in understanding isoparametric submanifolds was Thorbergsson's proof of their homogeneity in codimension at least two which in particular solved the classification problem in this case. In this paper we prove the analogous result for equifocal submanifolds using the generalization of Thorbergsson's result to infinite dimensions due to Heintze and Liu.


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Ulrich Christ. "Homogeneity of Equifocal Submanifolds." J. Differential Geom. 62 (1) 1 - 15, September, 2002.


Published: September, 2002
First available in Project Euclid: 21 July 2004

zbMATH: 1071.53531
MathSciNet: MR1987374
Digital Object Identifier: 10.4310/jdg/1090425526

Rights: Copyright © 2002 Lehigh University

Vol.62 • No. 1 • September, 2002
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