Mathematics – Differential Geometry
Scientific paper
2011-03-03
Mathematics
Differential Geometry
Scientific paper
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 {$M=M_{T}\times_{f}M_{\bot}$} of Lorentzian paracosymplectic manifold such that the characteristic vector field is normal to $M$ is an 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 involved in the definition of a warped product semi-invariant submanifold are always integrable. A necessary and sufficient condition for a semi-invariant submanifold of a Lorentzian paracosymplectic manifold to be warped product semi-invariant submanifold is obtained. We also investigate the existence and nonexistence of warped product semi-slant and warped product anti-slant submanifolds in a Lorentzian paracosymplectic manifold.
Kele\cs Sad\ik
K\ilı\cc Erol
Perkta\cs Selcen Yüksel
No associations
LandOfFree
Warped product submanifolds of Lorentzian paracosymplectic manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Warped product submanifolds of Lorentzian paracosymplectic manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Warped product submanifolds of Lorentzian paracosymplectic manifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-589315