A new geometry of a Lorentzian manifold
Copyright policy )A new geometry of a Lorentzian manifold
In the study of a locally time-normalized spacetime manifold, the paper proposes a new norm which allows to consider canonical parameters on the curves and, subsequently, a length of a curve and a distance on the manifold. In this class of manifolds, the almost Minkowskian and locally Minkowskian manifolds are regarded and the existence of associated linear connections is analysed.
Minkowski structure, length of curves, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, time-normalized space-time manifold, Lorentzian manifold, distance function, locally Minkowski, Krein spaces
Minkowski structure, length of curves, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, time-normalized space-time manifold, Lorentzian manifold, distance function, locally Minkowski, Krein spaces
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