Inequalities on Sasakian Statistical Manifolds in Terms of Casorati Curvatures
Copyright policy )Inequalities on Sasakian Statistical Manifolds in Terms of Casorati Curvatures
A statistical structure is considered as a generalization of a pair of a Riemannian metric and its Levi-Civita connection. With a pair of conjugate connections ∇ and ∇ * in the Sasakian statistical structure, we provide the normalized scalar curvature which is bounded above from Casorati curvatures on C-totally real (Legendrian and slant) submanifolds of a Sasakian statistical manifold of constant φ -sectional curvature. In addition, we give examples to show that the total space is a sphere.
- Kyungpook National University Korea (Republic of)
- Gyeongsang National University Korea (Republic of)
Special Riemannian manifolds (Einstein, Sasakian, etc.), Casorati curvature, QA1-939, Sasakian statistical manifold, Statistical aspects of information-theoretic topics, conjugate connection, Mathematics, Global Riemannian geometry, including pinching, Connections (general theory)
Special Riemannian manifolds (Einstein, Sasakian, etc.), Casorati curvature, QA1-939, Sasakian statistical manifold, Statistical aspects of information-theoretic topics, conjugate connection, Mathematics, Global Riemannian geometry, including pinching, Connections (general theory)
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