Inequalities for submanifolds in statistical manifolds of quasi-constant curvature

DOI10.4064/ap171106-27-6OpenAlexW2899016568MaRDI QIDQ4614216

Cihan Özgür, Hülya Aytimur

Publication date: 30 January 2019

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap171106-27-6

zbMATH Keywords

Ricci curvaturestatistical manifoldChen-Ricci inequalitygeneralized Wintgen inequalitymanifold of quasi-constant curvature

Mathematics Subject Classification ID

Global submanifolds (53C40) Connections (general theory) (53C05) Linear and affine connections (53B05) Other connections (53B15) Other special differential geometries (53A40) Differential geometric aspects of statistical manifolds and information geometry (53B12)

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On Ricci curvature of submanifolds in statistical manifolds of constant (quasi-constant) curvature ⋮ A Generalized Wintgen inequality for Legendrian submanifolds in almost Kenmotsu manifolds ⋮ Generalized Wintgen inequality for submanifolds in generalized (κ, µ)-space forms ⋮ A generalized Wintgen inequality for quaternionic CR-submanifolds ⋮ Ricci and scalar curvature inequalities for semi-slant Riemannian submersions in complex space forms ⋮ B. Y. Chen-Ricci inequalities for anti-invariant Riemannian submersions in Kenmotsu space forms ⋮ Inequalities for submanifolds of Sasaki-like statistical manifolds ⋮ Sharp inequalities for anti-invariant Riemannian submersions from Sasakian space forms ⋮ Statistical submanifolds from a viewpoint of the Euler inequality ⋮ Chen inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections ⋮ Recent developments in Wintgen inequality and Wintgen ideal submanifolds ⋮ Curvature invariants for anti-invariant Riemannian submersions from cosymplectic space forms

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