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Geometry of lightlike hypersurfaces of an indefinite cosymplectic manifold. (English) Zbl 1243.53084

The author studies the geometry of light-like hypersurfaces \(M\) of an indefinite cosymplectic manifold \(\overline M\) such that either (1) the characteristic vector field \(\zeta\) of \(\overline M\) belongs to the screen distribution \(S\) of \(M\) or (2) \(\zeta\) belongs to the orthogonal complement \(S^{\perp}\) of \(S\) in \(T\overline M\).

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C40 Global submanifolds
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
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