Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік
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dc.contributor.author	Hall, G.S.
dc.contributor.author	Lonie, D.P.
dc.date.accessioned	2019-02-19T17:37:20Z
dc.date.available	2019-02-19T17:37:20Z
dc.date.issued	2009
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 53C29; 53C22; 53C50
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149137
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA