The object of the present paper is to study a type of contact metric manifolds, called 𝘕(𝑘)- contact metric manifolds admitting a non-null concircular and torse forming vector field. Among others it is shown that such a manifold is either locally isometric to the Riemannian product En+1(0) × Sn (4) or a Sasakian manifold. Also it is shown that such a contact metric manifold can be expressed as a warped product , where is a 2n-dimensional manifold.
@article{1436,
title = {On N(k)-Contact Metric Manifolds},
journal = {CUBO, A Mathematical Journal},
volume = {12},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1436}
}
Shaikh, A.A.; Bagewadi, C.S. On 𝘕(𝑘)-Contact Metric Manifolds. CUBO, A Mathematical Journal, Tome 12 (2010) . http://gdmltest.u-ga.fr/item/1436/