Casorati curvatures of submanifolds in cosymplectic statistical space forms

DOI10.1007/s41980-019-00331-2zbMath1451.53026OpenAlexW2992412274MaRDI QIDQ2196452

Fereshteh Malek, Haniyeh Akbari

Publication date: 2 September 2020

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-019-00331-2

zbMATH Keywords

scalar curvaturestatistical manifoldcosymplectic statistical manifoldgeneralized normalized \(\delta \)-Casorati curvature

Mathematics Subject Classification ID

Global submanifolds (53C40) Connections (general theory) (53C05) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Related Items (5)

Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms ⋮ Recent developments in δ-Casorati curvature invariants ⋮ SOME PINCHING RESULTS FOR STATISTICAL SUBMANIFOLDS IN COSYMPLECTIC STATISTICAL MANIFOLDS ⋮ The cosymplectic statistical structures of constant \(\phi\)-sectional curvature on cosymplectic space forms ⋮ Unnamed Item

Cites Work

• Generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature
• Some pinching and classification theorems for minimal submanifolds
• Fundamental equations for statistical submanifolds with applications to the Bartlett correction
• Hypersurfaces in statistical manifolds
• Curvature invariants for statistical submanifolds of Hessian manifolds of constant Hessian curvature
• Kenmotsu statistical manifolds and warped product
• Differential-geometrical methods in statistics
• Submanifolds of cosymplectic manifolds
• Sasakian statistical manifolds
• Submanifold Theory in Holomorphic Statistical Manifolds
• Inequalities for algebraic Casorati curvatures and their applications
• Some inequalities on submanifolds in statistical manifolds of constant curvature
• Riemannian Geometry
• Unnamed Item
• Unnamed Item

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