Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds

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dc.contributor.authorHall, G.S.
dc.contributor.authorLonie, D.P.
dc.date.accessioned2019-02-19T17:37:20Z
dc.date.available2019-02-19T17:37:20Z
dc.date.issued2009
dc.description.abstractA 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.sponsorshipThis paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”.uk_UA
dc.identifier.citationHolonomy 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.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 53C29; 53C22; 53C50
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149137
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleHolonomy and Projective Equivalence in 4-Dimensional Lorentz Manifoldsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік