Results 71 to 80 of about 192 (102)
An Improved Chen-Ricci Inequality for Kaehlerian Slant Submanifolds in Complex Space Forms
Taiwanese Journal of Mathematics, 2012 B. Y. Chen proved in [4] an optimal inequality for Lagrangian submanifolds in complex space forms in terms of the Ricci curvature and the squared mean curvature, well-known as the Chen-Ricci inequality. Recently, the Chen-Ricci inequality was improved in [7, 11] for Lagrangian submanifolds in complex space forms.
Adela Mihai
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A Simple Proof of Chen–Ricci Inequality and Applications
GeometryIn the present paper, we give a simple proof of the Chen–Ricci inequality for submanifolds in Riemannian and Lorentzian space forms, respectively. Moreover, we extend the Chen–Ricci inequality to submanifolds in Lorentzian manifolds with a semi-symmetric non-metric connection.
Ion Mihai
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Chen–Ricci Inequality for CR-Warped Products and Related Open Problems
Mediterranean Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdulqader Mustafa, Siraj Uddin
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Metallic Structures on Product Manifolds and Chen-Ricci Inequalities
International Electronic Journal of GeometryIn this study, we discuss metallic structures on product manifolds and derive the Chen-Ricci inequalities for remarkable submanifolds determined by the behaviour of their tangent bundles with regard to the action of the metallic structure in a locally decomposable metallic Riemannian manifold whose components are spaces of constant curvature. Moreover,
Mustafa Gok
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Chen–Ricci Inequalities for Quasi Bi-Slant Riemannian Submersions From Complex Space Forms
Journal of GeometryCurvature invariants are the most important Riemannian invariants and the most natural ones in Riemannian geometry. This paper obtains several curvature inequalities involving Ricci and scalar curvatures of horizontal and vertical distributions of a quasi bi-slant Riemannian submersion from complex space forms onto a Riemannian manifold.
Chen Bang-yen, Mehraj Ahmad Lone
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Recent Developments on Chen–Ricci Inequalities in Differential Geometry
Infosys Science Foundation SeriesChen Bang-yen, Adara M Blaga
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An Improved Chen–Ricci Inequality for Special Slant Submanifolds in Kenmotsu Space Forms
Annales Polonici Mathematici, 2014Simona Costache, Iuliana Zamfir
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International Electronic Journal of Geometry
The sectional curvature, Ricci curvature, and scalar curvature for a product generalized Sasakian space form are obtained. Furthermore, the Chen-Ricci inequality and the Hineva inequality are established for submanifolds of a product generalized Sasakian space form, including product Sasakian, product cosymplectic, and product Kenmotsu space forms. The
Kapil Kumar Verma +3 more
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The sectional curvature, Ricci curvature, and scalar curvature for a product generalized Sasakian space form are obtained. Furthermore, the Chen-Ricci inequality and the Hineva inequality are established for submanifolds of a product generalized Sasakian space form, including product Sasakian, product cosymplectic, and product Kenmotsu space forms. The
Kapil Kumar Verma +3 more
openaire +1 more source