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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.
Siraj Uddin
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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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An improved Chen–Ricci inequality for special slant submanifolds in Kenmotsu space forms
Annales Polonici Mathematici, 2014Simona Costache, Iuliana Zamfir
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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,
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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
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International Electronic Journal of Geometry
In this paper, we prove the Chen-Ricci inequality for contact $CR$-warped products in the cosymplectic space forms, Theorem 5.1, which involves an intrinsic invariant (Ricci curvature) controlled by an extrinsic one (the mean curvature vector). This inequality is useful in both differential geometry and physics.
Abdulqader Mustafa +3 more
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In this paper, we prove the Chen-Ricci inequality for contact $CR$-warped products in the cosymplectic space forms, Theorem 5.1, which involves an intrinsic invariant (Ricci curvature) controlled by an extrinsic one (the mean curvature vector). This inequality is useful in both differential geometry and physics.
Abdulqader Mustafa +3 more
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Chen-Ricci inequality for biwarped product submanifolds in complex space forms
AIMS Mathematics, 2021Meraj Ali Khan, Amira Ishan
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Chen-Ricci inequalities for statistical submanifolds
Mean Rous, Mukut Mani Tripathiopenaire +1 more source
Chiti-type Reverse Hölder Inequality and Torsional Rigidity Under Integral Ricci Curvature Condition
Potential Analysis, 2021Hang Chen
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