Optimal inequalities for the Casorati curvatures of submanifolds of real space forms endowed with semi-symmetric metric connections

DOI10.1186/1029-242X-2014-327zbMath1334.53051WikidataQ59321093 ScholiaQ59321093MaRDI QIDQ260426

Jae Won Lee, Chul Woo Lee, Dae Won Yoon

Publication date: 21 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

real space formCasorati curvaturesemi-symmetric metric connection

Mathematics Subject Classification ID

Global submanifolds (53C40) Linear and affine connections (53B05)

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Cites Work

• Inequalities for generalized normalized \(\delta\)-Casorati curvatures of slant submanifolds in quaternionic space forms
• Chen inequalities for submanifolds of real space forms with a semi-symmetric metric connection
• 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
• A general inequality for submanifolds in complex-space-forms and its applications
• Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms
• Submanifolds of a Riemannian Manifold with Semisymmetric Metric Connections
• Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions
• Β. Y. CHEN INEQUALITIES FOR SLANT SUBMANIFOLDS IN COMPLEX SPACE FORMS
• AN OPTIMAL INEQUALITY FOR CR-WARPED PRODUCTS IN COMPLEX SPACE FORMS INVOLVING CR δ-INVARIANT
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