Stability of closed Lie subgroups in compact Lie groups
type: Item
instance of: scholarly article
title: Stability of closed Lie subgroups in compact Lie groups
zbMATH Open document ID: 0732.22011
author: Katsuya Mashimo
author: Hiroyuki Tasaki
published in: Kodai Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: The aim of this paper is to prove the following theorem: Let U be a compact connected simple Lie group with a biinvariant Riemannian metric. A connected simple closed Lie subgroup G of index 1 in U is a stable minimal submanifold. If G is isomorphic to SU(2) then the converse is true.
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 4210438
zbMATH Keywords: compact connected simple Lie group
zbMATH Keywords: biinvariant Riemannian metric
zbMATH Keywords: stable minimal submanifold
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138039218
OpenAlex ID: W2041422177
Wikidata QID: Q115224585
cites work: Q4095018
cites work: Stability of Minimal Orbits
cites work: Q5813959
cites work: MINIMAL COMPACTA IN RIEMANNIAN MANIFOLDS AND REIFENBERG'S CONJECTURE
cites work: Q3897665
cites work: Q3894074
cites work: Q3772875
cites work: Stability of certain minimal submanifolds of compact Hermitian symmetric spaces
cites work: Certain minimal or homologically volume minimizing submanifolds in compact symmetric spaces
cites work: Quaternionic submanifolds in quaternionic symmetric spaces
cites work: MINIMAL REAL CURRENTS ON COMPACT RIEMANNIAN MANIFOLDS
cites work: Q5516627
cites work: Q3831170
DOI: 10.2996/KMJ/1138039218
description: scientific article; zbMATH DE number 4210438