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Screen transversal lightlike submanifolds of indefinite Kaehler manifolds. (English) Zbl 1154.53308
Summary: In a spacetime, all geodesic curves fall into one of three classes; spacelike, timelike and null (lightlike) geodesic according to their tangent vectors have positive, negative or vanishing Lorentzian lengths. However, by far the most interesting curves are null curves which represent the motion of zero restmass test particles. In this paper, as a generalization of real null curves of indefinite Kaehler manifolds, we introduce screen transversal lightlike submanifolds. Then, we study the geometry of this new class (and its subspaces) and give examples.
MSC:
53B30Lorentz metrics, indefinite metrics
53B25Local submanifolds
53B35Hermitian and Kählerian structures (local differential geometry)