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ON A CLASS OF INDEFINITE KENMOTSU MANIFOLDS ADMITTING QUARTER-SYMMETRIC METRIC CONNECTION
In this present paper, a class of almost contact metric manifolds equipped with an indefinite metric, termed indefinite Kenmotsu manifolds (known as, ϵ-Kenmotsu), is considered that accepts a connection of quarter-symmetric. We obtain some typical identities for the Riemannian curvature tensor and the Ricci tensor of indefinite Kenmotsu manifolds with ...K.L. Sai Prasad, S. Sunitha Devi
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Quarter-symmetric metric connection on 3-dimensional quasi-Sasakian manifolds
SUT Journal of Mathematics, 2010Uday Chand De
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On pseudo concircular symmetric manifold admitting a type of quarter symmetric metric connection
2012Let \((M_n,g,n>2)\) be a non-flat Riemannian manifold, \(\Omega\) the concircular curvature tensor and \(A\) a non-zero 1-form such that \(g(X,\rho) =A(X)\); \(X,\rho\) are vector fields. A pseudo concircular symmetric manifold is defined under some conditions for \(\Omega\) and \(A\). Let \(r\) be the scalar curvature.
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Some classes of Lorentzian α-Sasakian manifolds with respect to quarter-symmetric metric connection
Tbilisi Mathematical Journal, 2017Santu Dey +2 more
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