An Integrability Condition for Simple Lie Groups II
Vernadsky National Library of Ukraine
Переглянути архів ІнформаціяПоле | Співвідношення | |
Title |
An Integrability Condition for Simple Lie Groups II
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Creator |
Min-Oo, M.
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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].
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Date |
2019-02-12T18:25:43Z
2019-02-12T18:25:43Z 2015 |
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Type |
Article
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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 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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