Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is provided and a list of new results connecting projective relatedness and the hol...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149137 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds / G.S. Hall, D.P. Lonie // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 26 назв. — англ. |
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Hall, G.S. Lonie, D.P. 2019-02-19T17:37:20Z 2019-02-19T17:37:20Z 2009 Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds / G.S. Hall, D.P. Lonie // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 26 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 53C29; 53C22; 53C50 https://nasplib.isofts.kiev.ua/handle/123456789/149137 A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is provided and a list of new results connecting projective relatedness and the holonomy type of the Lorentz manifold in question is given. This necessitates a review of the possible holonomy groups for such manifolds which, in turn, requires a certain convenient classification of the associated curvature tensors. These reviews are provided. This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds |
| spellingShingle |
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds Hall, G.S. Lonie, D.P. |
| title_short |
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds |
| title_full |
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds |
| title_fullStr |
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds |
| title_full_unstemmed |
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds |
| title_sort |
holonomy and projective equivalence in 4-dimensional lorentz manifolds |
| author |
Hall, G.S. Lonie, D.P. |
| author_facet |
Hall, G.S. Lonie, D.P. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
A study is made of 4-dimensional Lorentz manifolds which are projectively related, that is, whose Levi-Civita connections give rise to the same (unparameterised) geodesics. A brief review of some relevant recent work is provided and a list of new results connecting projective relatedness and the holonomy type of the Lorentz manifold in question is given. This necessitates a review of the possible holonomy groups for such manifolds which, in turn, requires a certain convenient classification of the associated curvature tensors. These reviews are provided.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149137 |
| citation_txt |
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds / G.S. Hall, D.P. Lonie // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 26 назв. — англ. |
| work_keys_str_mv |
AT hallgs holonomyandprojectiveequivalencein4dimensionallorentzmanifolds AT loniedp holonomyandprojectiveequivalencein4dimensionallorentzmanifolds |
| first_indexed |
2025-12-07T17:14:33Z |
| last_indexed |
2025-12-07T17:14:33Z |
| _version_ |
1850870515723403264 |