Journal of Differential Geometry

Homogeneity of Equifocal Submanifolds

Ulrich Christ

Abstract

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.

Article information

Source
J. Differential Geom., Volume 62, Number 1 (2002), 1-15.

Dates
First available in Project Euclid: 21 July 2004

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1090425526

Digital Object Identifier
doi:10.4310/jdg/1090425526

Mathematical Reviews number (MathSciNet)
MR1987374

Zentralblatt MATH identifier
1071.53531

Citation

Christ, Ulrich. Homogeneity of Equifocal Submanifolds. J. Differential Geom. 62 (2002), no. 1, 1--15. doi:10.4310/jdg/1090425526. https://projecteuclid.org/euclid.jdg/1090425526


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