2012
DOI: 10.1007/s40065-012-0037-y
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Warped product submanifolds of Lorentzian paracosymplectic manifolds

Abstract: In this paper we study the warped product submanifolds of a Lorentzian paracosymplectic manifold and obtain some nonexistence results. We show that a warped product semi-invariant submanifold in the form M = M × f M ⊥ of a Lorentzian paracosymplectic manifold such that the characteristic vector field is normal to M is a usual Riemannian product manifold where totally geodesic and totally umbilical submanifolds of warped product are invariant and anti-invariant, respectively. We prove that the distributions inv… Show more

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Cited by 5 publications
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