Totally geodesic submanifolds in compact Riemannian symmetric spaces and their stability
type: Item
instance of: scholarly article
title: Totally geodesic submanifolds in compact Riemannian symmetric spaces and their stability
zbMATH Open document ID: 1013.53033
DOI: 10.1007/BF02880065
author: Quanqin Jin
published in: Science in China. Series A
publication date: 2002-08-15T00:00:00Z
review text: Using the theory of involutive automorphisms of Lie groups and Lie algebras, the author determines totally geodesic submanifolds of compact symmetric spaces. He gives necessary and sufficient conditions for these submanifolds to be polars or meridians. With the help of Ohnita's formula and representation theory of Lie groups, the stability of such submanifolds is determined. For simplicity and conciseness, the only exceptional compact Riemannian symmetric spaces are discussed.
reviewed by: Zbigniew Olszak
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 1782025
zbMATH Keywords: symmetric space
zbMATH Keywords: totally geodesic submanifold
zbMATH Keywords: stability
Wikidata QID: Q115391357
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02880065
OpenAlex ID: W1506322656
description: scientific article; zbMATH DE number 1782025