B.-Y. Chen's Inequality for Kähler-like Statistical Submersions

DOI10.36890/iejg.1006287zbMath1506.53019OpenAlexW4306412065MaRDI QIDQ5058094

Siraj Uddin, Aliya Naaz Siddiqui, Mohammed Hasan Shahid

Publication date: 2 December 2022

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

Full work available at URL: https://doi.org/10.36890/iejg.1006287

zbMATH Keywords

statistical manifoldsChen-Ricci inequalityKähler-like statistical submersionsLagrangian statistical submersionsstatistical submersions

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) Linear and affine connections (53B05) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

• Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions
• Anti-invariant Riemannian submersions from almost Hermitian manifolds
• Statistical manifolds with almost contact structures and its statistical submersions
• Sharp inequalities for anti-invariant Riemannian submersions from Sasakian space forms
• Almost product structures on statistical manifolds and para-Kähler-like statistical submersions
• On Ricci curvature of submanifolds in statistical manifolds of constant (quasi-constant) curvature
• Differential-geometrical methods in statistics
• On cosymplectic-like statistical submersions
• The fundamental equations of a submersion
• On totally real statistical submanifolds
• On Lagrangian submersions
• Some inequalities on submanifolds in statistical manifolds of constant curvature
• An affine submersion with horizontal distribution and its applications
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