On statistical submanifolds in manifolds of quasi-constant curvature

DOI10.36890/IEJG.1237417zbMATH Open1539.5302MaRDI QIDQ6549285

Hülya Aytimur

Publication date: 3 June 2024

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

zbMATH Keywords

submanifoldstatistical manifoldquasi-constant curvatureChen inequality

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• A sectional curvature for statistical structures
• Chen inequalities for submanifolds of real space forms with a semi-symmetric metric connection
• Chen inequalities for submanifolds of complex space forms and Sasakian space forms endowed with semi-symmetric metric connections
• 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
• Differential-geometrical methods in statistics
• A Chen first inequality for statistical submanifolds in Hessian manifolds of constant Hessian curvature
• Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
• Inequalities for submanifolds in statistical manifolds of quasi-constant curvature
• Mean curvature and shape operator of isometric immersions in real-space-forms
• Some inequalities on submanifolds in statistical manifolds of constant curvature

This page was built for publication: On statistical submanifolds in manifolds of quasi-constant curvature

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6549285)