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2006 A splitting theorem for proper complex equifocal submanifolds
Naoyuki Koike
Tohoku Math. J. (2) 58(3): 393-417 (2006). DOI: 10.2748/tmj/1163775137

Abstract

In this paper, we define the notion of the complex Coxeter group associated with a proper complex equifocal submanifold in a symmetric space of non-compact type. We prove that a proper complex equifocal submanifold is decomposed into a non-trivial (extrinsic) product of two such submanifolds if and only if its associated complex Coxeter group is decomposable. Its proof is performed by showing a splitting theorem for an infinite-dimensional proper anti-Kaehlerian isoparametric submanifold.

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Naoyuki Koike. "A splitting theorem for proper complex equifocal submanifolds." Tohoku Math. J. (2) 58 (3) 393 - 417, 2006. https://doi.org/10.2748/tmj/1163775137

Information

Published: 2006
First available in Project Euclid: 17 November 2006

zbMATH: 1116.53033
MathSciNet: MR2273277
Digital Object Identifier: 10.2748/tmj/1163775137

Subjects:
Primary: 53C40

Rights: Copyright © 2006 Tohoku University

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