A splitting theorem for proper complex equifocal submanifolds
type: Item
instance of: scholarly article
title: A splitting theorem for proper complex equifocal submanifolds
zbMATH Open document ID: 1116.53033
author: Naoyuki Koike
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2007-04-13T00:00:00Z
review text: In [Proc. Am. Math. Soc. 126, 2443--2452 (1998; Zbl 0911.53034)], \textit{H. Ewert} showed that: An equifocal submanifold in a simply connected compact symmetric space is a nontrivial product of two such submanifolds if and only if its Coxeter group is decomposable. In the paper under review the author introduces the notion of a complex Coxeter group associated with a proper complex equifocal submanifold in a symmetric space of non-compact type and proves a splitting result of Ewert-type for a proper complex equifocal submanifold.
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 57S25
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 5142590
zbMATH Keywords: equifocal submanifolds
zbMATH Keywords: symmetric spaces
zbMATH Keywords: Coxeter groups
reviewed by: Thomas Hasanis
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1163775137
OpenAlex ID: W1997927744
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DOI: 10.2748/TMJ/1163775137
description: scientific article; zbMATH DE number 5142590