Some inequalities for statistical submanifolds of quaternion Kaehler-like statistical space forms

DOI10.1142/S0219887819501299zbMath1425.53064OpenAlexW2949806910WikidataQ127637633 ScholiaQ127637633MaRDI QIDQ5233074

Mohd. Aquib

Publication date: 13 September 2019

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887819501299

zbMATH Keywords

statistical manifoldquaternionic space formconjugate connectionChen-Ricci inequalityChen inequality

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Global submanifolds (53C40) Measures of information, entropy (94A17) Connections (general theory) (53C05) Other special differential geometries (53A40)

Related Items (5)

Basic inequalities for statistical submanifolds in Golden-like statistical manifolds ⋮ SOME PINCHING RESULTS FOR STATISTICAL SUBMANIFOLDS IN COSYMPLECTIC STATISTICAL MANIFOLDS ⋮ Inequalities for Statistical Submanifolds in Sasakian Statistical Manifolds ⋮ Statistical submanifolds from a viewpoint of the Euler inequality ⋮ A characterization of totally real statistical submanifolds in quaternion Kähler-like statistical manifolds

Cites Work

• Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions
• Some pinching and classification theorems for minimal submanifolds
• Generalized Wintgen type inequality for Lagrangian submanifolds in holomorphic statistical space forms
• Generalized normalized \(\delta\)-Casorati curvature for statistical submanifolds in quaternion Kaehler-like statistical space forms
• Differential-geometrical methods in statistics
• A study of Wintgen like inequality for submanifolds in statistical warped product manifolds
• Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
• A pinching theorem for statistical manifolds with Casorati curvatures
• Totally Real Statistical Submanifolds
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