Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form Article Swipe

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Scalar curvature Conformal map Mathematics Space form Invariant (physics) Curvature Mean curvature Pure mathematics Mathematical analysis Ricci curvature Tangent Vector field Mathematical physics Geometry Submanifold

Esmaeil Abedi , Reyhane Bahrami Ziabari , Mukut Mani Tripathi ·

YOU? · · 2016 · Open Access · · DOI: https://doi.org/10.5817/am2016-2-113 · OA: W2485010074

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, $\theta $-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.