Optimization Approach for Extremities of Submanifolds in Locally Conformal Almost Cosymplectic Manifold Admitting SSMC

DOI10.1080/1726037X.2018.1552106zbMath1499.53264OpenAlexW2945858455MaRDI QIDQ5029629

Mohammed Hasan Shahid, Pooja Bansal

Publication date: 14 February 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2018.1552106

zbMATH Keywords

scalar curvaturemean curvaturewarped productsemi-symmetric metric connectionlocally conformal almost cosymplectic manifold\( \delta \)-Casorati 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)

Cites Work

• Curvature inequalities for Lagrangian submanifolds: the final solution
• Inequalities for generalized normalized \(\delta\)-Casorati curvatures of slant submanifolds in quaternionic space forms
• Some pinching and classification theorems for minimal submanifolds
• Inequalities for Casorati curvatures of submanifolds in real space forms
• Optimal inequalities for the normalized \(\delta\)-Casorati curvatures of submanifolds in Kenmotsu space forms
• A Riemannian invariant and its applications to submanifold theory
• Inequalities for the Casorati curvatures of slant submanifolds in quaternionic space forms
• Mean curvature and shape operator of isometric immersions in real-space-forms
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