Sharp inequalities for anti-invariant Riemannian submersions from Sasakian space forms

DOI10.1016/j.geomphys.2021.104251zbMath1468.53041arXiv1901.04172OpenAlexW3156726116WikidataQ115352699 ScholiaQ115352699MaRDI QIDQ2032801

Hülya Aytimur, Cihan Özgür

Publication date: 14 June 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04172

zbMATH Keywords

Riemannian submersionSasakian space formChen-Ricci inequalityanti-invariant Riemannian submersion

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Related Items (7)

B.-Y. Chen's Inequality for Kähler-like Statistical Submersions ⋮ On optimal inequalities for anti-invariant Riemannian submersions from conformal Sasakian space forms ⋮ 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 ⋮ Lower Bounds on Statistical Submersions with vertical Casorati curvatures ⋮ Unnamed Item ⋮ Curvature invariants for anti-invariant Riemannian submersions from cosymplectic space forms

Cites Work

• Slant Riemannian submersions from Sasakian manifolds
• Chen inequalities for submanifolds of real space forms with a semi-symmetric metric connection
• Anti-invariant Riemannian submersions from almost Hermitian manifolds
• 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
• Riemannian submersions, minimal immersions and cohomology class
• Curvature invariants for statistical submanifolds of Hessian manifolds of constant Hessian curvature
• Riemannian submersions, \(\delta\)-invariants, and optimal inequality
• B.-Y. Chen's inequality for submanifolds of generalized space forms
• The fundamental equations of a submersion
• Chen’s first inequality for Riemannian maps
• Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
• Inequalities for submanifolds in statistical manifolds of quasi-constant curvature
• Some inequalities on submanifolds in statistical manifolds of constant curvature
• Examples and classification of Riemannian submersions satisfying a basic equality
• Riemannian geometry of contact and symplectic manifolds
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