Chen-Ricci inequalities for Riemannian maps and their applications

DOI10.1090/conm/777/15627zbMath1501.53023OpenAlexW4226160701MaRDI QIDQ5085356

Chul Woo Lee, Bayram Ṣahin, Gabriel Eduard Vîlcu, Jae Won Lee

Publication date: 27 June 2022

Published in: Differential Geometry and Global Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/777/15627

zbMATH Keywords

isometric immersioncomplex space formRiemannian mapChen-Ricci inequalityhorizontal space

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Optimality conditions for minimax problems (49K35) Statistical aspects of information-theoretic topics (62B10) Connections (general theory) (53C05)

Related Items (2)

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

Cites Work

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• An improved Chen-Ricci inequality for Kählerian slant submanifolds in complex space forms
• Some pinching and classification theorems for minimal submanifolds
• Improved Chen-Ricci inequality for curvature-like tensors and its applications
• Riemannian submersions, minimal immersions and cohomology class
• Second fundamental form of a map
• Two theorems on Kähler manifolds
• An optimal inequality for Lagrangian submanifolds in complex space forms involving Casorati curvature
• Slant submanifolds of almost contact metric 3-structure manifolds
• On Ricci curvature of isotropic and Lagrangian submanifolds in complex space forms
• Lagrangian submanifolds in complex space forms satisfying equality in the optimal inequality involving \(\delta (2, \ldots, 2)\)
• Chen-Ricci inequality for warped products in Kenmotsu space forms and its applications
• Classification of Casorati ideal Lagrangian submanifolds in complex space forms
• Optimal inequalities for Riemannian maps and Riemannian submersions involving Casorati curvatures
• Chen’s first inequality for Riemannian maps
• Ricci curvature of Lagrangian submanifolds in complex space forms
• Ricci curvature of submanifolds in Sasakian space forms
• Inequalities on the Ricci curvature
• INVARIANT AND ANTI-INVARIANT RIEMANNIAN MAPS TO KÄHLER MANIFOLDS
• Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
• Upper bounds for Ricci curvatures for submanifolds in Bochner-Kaehler manifolds
• Examples and classification of Riemannian submersions satisfying a basic equality

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