Inequalities for submanifolds of Sasaki-like statistical manifolds

Authors : Hülya Bostan AYTİMUR, Cihan ÖZGÜR

Pages : 3149-3163

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We consider statistical submanifolds in Sasaki-like statistical manifolds. We give some examples of invariant and antiinvariant submanifolds of Sasaki-like statistical manifolds. We prove Chen-like inequality involving scalar curvature and Chen-Ricci inequality for these kinds of submanifolds.
Keywords : Sasaki like statistical manifold, Chen Ricci inequality, Ricci curvature, scalar curvature