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We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, θ-slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared(More)
Let M be an (n+ 1)-dimensional contact CR-submanifold of an odd-dimensional unit sphere S of (n− q) contact CR-dimension. We study the condition h(FX, Y )+h(X,FY ) = 0 on the structure tensor F which is naturally induced from the almost contact structure φ of the ambient manifold and the second fundamental form h of the submanifold M . We obtain two results(More)
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