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Abstract
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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, -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
mean curvature of some submanifolds of a conformal Sasakian space form are
obtained.
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