Generalized normalized \(\delta\)-Casorati curvature for statistical submanifolds in quaternion Kaehler-like statistical space forms

DOI10.1007/s00022-018-0418-2zbMath1391.53067OpenAlexW2789896065MaRDI QIDQ1754397

Mohd. Aquib, Mohammed Hasan Shahid

Publication date: 30 May 2018

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-018-0418-2

zbMATH Keywords

statistical manifoldconjugate connectionCasorati-curvaturequaternion Kähler-like statistical space form

Mathematics Subject Classification ID

Global submanifolds (53C40) Local Riemannian geometry (53B20) Linear and affine connections (53B05)

Related Items (11)

Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms ⋮ Pointwise slant Riemannian maps from Kähler manifolds ⋮ Optimal inequalities for Riemannian maps and Riemannian submersions involving Casorati curvatures ⋮ Recent developments in δ-Casorati curvature invariants ⋮ On \(\delta\)-Casorati curvature invariants of Lagrangian submanifolds in quaternionic Kähler manifolds of constant \(q\)-sectional curvature ⋮ SOME PINCHING RESULTS FOR STATISTICAL SUBMANIFOLDS IN COSYMPLECTIC STATISTICAL MANIFOLDS ⋮ Unnamed Item ⋮ Inequalities for Statistical Submanifolds in Sasakian Statistical Manifolds ⋮ Almost product structures on statistical manifolds and para-Kähler-like statistical submersions ⋮ Some inequalities for statistical submanifolds of quaternion Kaehler-like statistical space forms ⋮ Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms

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• A pinching theorem for statistical manifolds with Casorati curvatures
• Bounds for generalized normalized δ-Casorati curvatures for Bi-slant submanifolds in T-space forms
• Totally Real Statistical Submanifolds

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