Some remarks on complex crowns of Riemannian symmetric spaces
type: Item
instance of: scholarly article
title: Some remarks on complex crowns of Riemannian symmetric spaces
zbMATH Open document ID: 1020.53028
DOI: 10.1023/A:1019774720194
published in: Acta Applicandae Mathematicae
publication date: 2003-03-11T00:00:00Z
review text: The author discusses the idea of ``complex crown'' of a Riemannian symmetric space \(X\) which should be some canonical Stein neighborhood \(\text{Crown} (X)\), such that natural geometric constructions on \(X\) have natural extensions to \(\text{Crown}(X)\) and essential analytic objects on \(X\) admit holomorphic extensions to \(\text{Crown}(X)\). Candidates for the definition of \(\text{Crown}(X)\) are presented as well as partial results supporting them.
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 32E10
Mathematics Subject Classification ID: 32M15
Mathematics Subject Classification ID: 22E30
zbMATH DE Number: 1879585
zbMATH Keywords: Riemannian symmetric spaces
zbMATH Keywords: complex crowns
zbMATH Keywords: Matsuki duality
author: S. G. Gindikin
reviewed by: Guy Roos
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1879585