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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, 2021Amira Ishan, Meraj Ali Khan
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Chiti-type Reverse Hölder Inequality and Torsional Rigidity Under Integral Ricci Curvature Condition
Potential Analysis, 2021Hang Chen
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Improved Chen–Ricci inequality for curvature-like tensors and its applications
Differential Geometry and Its Applications, 2011Mukut Mani Tripathi
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Chen-Ricci inequalities for statistical submanifolds
Mean Rous, Mukut Mani Tripathiopenaire +1 more source
Chen–Ricci inequality for warped products in Kenmotsu space forms and its applications
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2019Abdulqader Mustafa +2 more
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