Projective structure and holonomy in four-dimensional Lorentz manifolds

Graham S Hall; David P Lonie

doi:10.1016/j.geomphys.2010.10.007

Projective structure and holonomy in four-dimensional Lorentz manifolds

Graham S Hall^* (Corresponding Author), David P Lonie

^*Corresponding author for this work

Mathematical Science

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

This paper studies the situation for projective equivalence for a 4-dimensional manifold admitting a Lorentz metric.

Original language	English
Pages (from-to)	381-399
Number of pages	19
Journal	Journal of Geometry and Physics
Volume	61
Issue number	2
Early online date	16 Oct 2010
DOIs	https://doi.org/10.1016/j.geomphys.2010.10.007
Publication status	Published - Feb 2011

Keywords

projective structure
Lorentz Manifolds
general relativity
differential geometry
geodesic equivalence
projective relatedness
holonomy

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10.1016/j.geomphys.2010.10.007

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title = "Projective structure and holonomy in four-dimensional Lorentz manifolds",

abstract = "This paper studies the situation for projective equivalence for a 4-dimensional manifold admitting a Lorentz metric.",

keywords = "projective structure, Lorentz Manifolds, general relativity, differential geometry, geodesic equivalence, projective relatedness, holonomy",

author = "Hall, {Graham S} and Lonie, {David P}",

year = "2011",

month = feb,

doi = "10.1016/j.geomphys.2010.10.007",

language = "English",

volume = "61",

pages = "381--399",

journal = "Journal of Geometry and Physics",

publisher = "Elsevier",

number = "2",

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AU - Hall, Graham S

AU - Lonie, David P

PY - 2011/2

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N2 - This paper studies the situation for projective equivalence for a 4-dimensional manifold admitting a Lorentz metric.

AB - This paper studies the situation for projective equivalence for a 4-dimensional manifold admitting a Lorentz metric.

KW - projective structure

KW - Lorentz Manifolds

KW - general relativity

KW - differential geometry

KW - geodesic equivalence

KW - projective relatedness

KW - holonomy

U2 - 10.1016/j.geomphys.2010.10.007

DO - 10.1016/j.geomphys.2010.10.007

M3 - Article

VL - 61

SP - 381

EP - 399

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 2

ER -

Projective structure and holonomy in four-dimensional Lorentz manifolds

Abstract

Keywords

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