Запис Детальніше

Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds

Vernadsky National Library of Ukraine

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Поле Співвідношення
 
Title Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds
 
Creator Hall, G.S.
Lonie, D.P.
 
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.
 
Date 2019-02-19T17:37:20Z
2019-02-19T17:37:20Z
2009
 
Type Article
 
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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України