Linear Connections on Light-like Manifolds
Authors : T. Dereli
Pages : 41-49
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :It is well-known that a torsion-free linear connection on a light-like manifold (M,g) compatible with the degenerate metric g exists if and only if Rad(TM) is a Killing distribution. In case of existence, there is an infinitude of connections with none distinguished. We propose a method to single out connections with the help of a special set of 1-forms by the condition that the 1-forms become parallel with respect to this connection. Such sets of 1-forms could be regarded as an additional structure imposed upon the light-like manifold. We consider also connections with torsion and with non-metricity on light-like manifolds.Keywords : Turk. J. Math., 32, (2008), 41-49. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.32, iss.1.