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An Integrability Condition for Simple Lie Groups II

Vernadsky National Library of Ukraine

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Title An Integrability Condition for Simple Lie Groups II
 
Creator Min-Oo, M.
 
Description It is shown that a simple Lie group G (≠SL₂) can be locally characterised by an integrability condition on an Aut(g) structure on the tangent bundle, where Aut(g) is the automorphism group of the Lie algebra of G. The integrability condition is the vanishing of a torsion tensor of type (1,2). This is a slight improvement of an earlier result proved in [Min-Oo M., Ruh E.A., in Differential Geometry and Complex Analysis, Springer, Berlin, 1985, 205-211].
 
Date 2019-02-12T18:25:43Z
2019-02-12T18:25:43Z
2015
 
Type Article
 
Identifier An Integrability Condition for Simple Lie Groups II / M. Min-Oo // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 53C10; 53C30
DOI:10.3842/SIGMA.2015.027
http://dspace.nbuv.gov.ua/handle/123456789/147007
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України