An Integrability Condition for Simple Lie Groups II
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 i...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2015 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147007 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862694266496614400 |
|---|---|
| author | Min-Oo, M. |
| author_facet | Min-Oo, M. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T16:21:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147007 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:21:50Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Min-Oo, M. 2019-02-12T18:25:43Z 2019-02-12T18:25:43Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/147007 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]. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications An Integrability Condition for Simple Lie Groups II Article published earlier |
| spellingShingle | An Integrability Condition for Simple Lie Groups II Min-Oo, M. |
| title | An Integrability Condition for Simple Lie Groups II |
| title_full | An Integrability Condition for Simple Lie Groups II |
| title_fullStr | An Integrability Condition for Simple Lie Groups II |
| title_full_unstemmed | An Integrability Condition for Simple Lie Groups II |
| title_short | An Integrability Condition for Simple Lie Groups II |
| title_sort | integrability condition for simple lie groups ii |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147007 |
| work_keys_str_mv | AT minoom anintegrabilityconditionforsimpleliegroupsii AT minoom integrabilityconditionforsimpleliegroupsii |