Linear Connections on Light-like Manifolds

Authors : T. DERELİ

Pages : 41-49

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :It is well-known that a torsion-free linear connection on a light-like manifold insert ignore into journalissuearticles values(M,g); compatible with the degenerate metric g exists if and only if Radinsert ignore into journalissuearticles values(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 Turk J Math, vol 32, iss 1