Totally geodesic submanifolds of maximal rank in symmetric spaces
type: Item
instance of: scholarly article
title: Totally geodesic submanifolds of maximal rank in symmetric spaces
zbMATH Open document ID: 1078.53052
author: Ke Liang
author: Fuhai Zhu
published in: Science in China. Series A
publication date: 2005-05-23T00:00:00Z
review text: The authors classify all totally geodesic submanifolds of maximal rank in Riemannian symmetric spaces \(G/K\) of noncompact type. For the special case \(\text{rank}(G) = \text{rank}(K)\) this classification is already known from work by \textit{B.-Y. Chen} and \textit{T. Nagano} in [Duke Math. J. 45, 405--425 (1978; Zbl 0384.53024)].
reviewed by: Jürgen Berndt
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C35
zbMATH DE Number: 2170603
zbMATH Keywords: totally geodesic submanifolds
zbMATH Keywords: symmetric spaces
MaRDI profile type: Publication
cites work: Totally geodesic submanifolds of symmetric spaces. II
cites work: Q3897665
cites work: Elliptic spaces in Grassmann manifolds
cites work: Les sous-groupes fermes de rang maximum des groupes de Lie clos
description: scientific article; zbMATH DE number 2170603