On ð˜•(ð‘˜)-Contact Metric Manifolds
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A.A. Shaikh
aask2003@yahoo.co.in
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C.S. Bagewadi
prof_bagewadi@yahoo.com
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DOI:
https://doi.org/10.4067/S0719-06462010000100016Abstract
The object of the present paper is to study a type of contact metric manifolds, called ð˜•(ð‘˜)- 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.
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