Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
Vernadsky National Library of Ukraine
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Title |
Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
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Creator |
Hall, G.S.
Lonie, D.P. |
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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.
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Date |
2019-02-19T17:37:20Z
2019-02-19T17:37:20Z 2009 |
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Type |
Article
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Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/149137 |
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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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