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Generic lightlike submanifolds of an indefinite cosymplectic manifold. (English) Zbl 1236.53056

Summary: Light-like geometry has its applications in general relativity, particularly in black hole theory. Indeed, it is known that light-like hypersurfaces are examples of physical models of Killing horizons in general relativity [G. J. Galloway and D. A. Solis, Classical Quantum Gravity 24, No. 11, 3125–3138 (2007; Zbl 1117.83018)]. In this paper, we introduce the definition of generic light-like submanifolds of an indefinite cosymplectic manifold. We investigate new results on a class of generic light-like submanifolds \(M\) of an indefinite cosymplectic manifold \(\overline M\).

MSC:

53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
53D15 Almost contact and almost symplectic manifolds
53C40 Global submanifolds
83C15 Exact solutions to problems in general relativity and gravitational theory

Citations:

Zbl 1117.83018
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References:

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