Upper Bound Inequalities for δ-Casorati Curvatures of Submanifolds in Generalized Sasakian Space Forms Admitting a Semi-Symmetric Metric Connection

Authors : Aliya Naaz SİDDİQUİ

Pages : 57-67

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Publication Date : 2018-04-30

Article Type : Research Paper

Abstract :In this paper, we establish two sharp inequalities, which involve the generalized normalized δ-Casorati curvatures and the generalized normalized scalar curvature of any submanifold in generalized Sasakian space forms with semi-symmetric metric connection by using T Oprea’s technique. Afterwards, we examine that the equality holds if and only if the submanifold is invariantly quasi-umbilical in both inequalities. We also develop these inequalities for invariant, anti-invariant, CR, slant, semi-slant, hemi-slant and bi-slant submanifolds in the same ambient space form with SSMC.
Keywords : δ Casorati Curvatures, bi slant submanifold, generalized Sasakian space forms, semi symmetric metric connection, quasi umbilical submanifold

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