کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893115 1044067 2011 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Projective structure and holonomy in four-dimensional Lorentz manifolds
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Projective structure and holonomy in four-dimensional Lorentz manifolds
چکیده انگلیسی

This paper studies the situation when two four-dimensional Lorentz manifolds (that is, space–times) admit the same (unparametrised) geodesics, that is, when they are projectively related. A review of some known results is given and then the problem is considered further by treating each holonomy type in turn for the space–time connection. It transpires that all holonomy possibilities can be dealt with completely except the most general one and that the consequences of two space–times being projectively related leads, in many cases, to their associated Levi-Civita connections being identical.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 61, Issue 2, February 2011, Pages 381–399
نویسندگان
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