Slant and Semi-Slant Submanifolds of a Lorentzian Almost Paracontact Manifold

Details Slant and Semi-Slant Submanifolds of a Lorentzian Almost Paracontact Manifold Slant and Semi-Slant Submanifolds of a Lorentzian Almost Paracontact Manifold

2011-01-17

arxiv.org/abs/1101.3156v1

Mathematics

Differential Geometry

19 pages

Scientific paper

In this paper we define and study the slant and semi-slant submanifolds of a Lorentzian almost paracontact manifold. Some necessary and sufficient conditions for a submanifold of a Lorentzian almost paracontact manifold to be slant are obtained. We give some examples for the slant and semi-slant submanifolds of a Lorentzian almost paracontact manifold. We also investigate the integrability conditions for the distributions involved in the definition of a semi-slant submanifold when the ambient manifold is a Lorentzian paracosymplectic and a Lorentzian para-Sasakian manifold, respectively.

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