Turkish Journal of Mathematics
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.
DOI
-
First Page
41
Last Page
49
Recommended Citation
DERELİ, T, KOÇAK, Ş, & LİMONCU, M (2008). Linear Connections on Light-like Manifolds. Turkish Journal of Mathematics 32 (1): 41-49. https://doi.org/-
