On the normal scalar curvature conjecture for legendrian submanifolds in Kenmotsu space forms

DOI10.2298/FIL2012885NzbMath1499.53155OpenAlexW3139771797WikidataQ123230792 ScholiaQ123230792MaRDI QIDQ5081274

Monia Fouad Naghi, Mića S. Stanković, Fatimah Alghamdi

Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2012885n

zbMATH Keywords

slant submanifoldsLegendrian submanifoldsKenmotsu space formWintgen inequalitynormal scalar curvaturegeneralized Wintgen inequalitynormalized normal scalar curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10)

Cites Work

• Generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature
• Normal scalar curvature conjecture and its applications
• Some pinching and classification theorems for minimal submanifolds
• A proof of the DDVV conjecture and its equality case
• Normal curvature of surfaces in space forms
• Contact manifolds in Riemannian geometry
• Curvature invariants for statistical submanifolds of Hessian manifolds of constant Hessian curvature
• Classification of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvatures
• On the generalized Wintgen inequality for Legendrian submanifolds in Sasakian space forms
• A study of Wintgen like inequality for submanifolds in statistical warped product manifolds
• A class of almost contact Riemannian manifolds
• On the generalized Wintgen inequality for Lagrangian submanifolds in complex space forms
• Mean curvature and shape operator of isometric immersions in real-space-forms
• Wintgen inequality for statistical surfaces
• Generalized Wintgen inequality for submanifolds in Kenmotsu space forms
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