Holonomy and Projective Equivalence in 4-Dimensional Lorentz Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Hall, G.S., Lonie, D.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149137
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 hol...