Results 121 to 130 of about 3,034,641 (146)

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
exaly   +3 more sources

Chen–Ricci inequality for anti-invariant Riemannian submersions from conformal Kenmotsu space form

Arabian Journal of Mathematics
AbstractThe aim of this paper is twofold: first, we obtain various curvature inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of anti-invariant Riemannian submersion defined from conformal Kenmotsu space form onto a Riemannian manifold.
Mehraj Ahmad Lone, Towseef Wani
exaly   +2 more sources

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Chen–Ricci inequalities for quasi bi-slant Riemannian submersions from complex space forms

Journal of Geometry
Curvature 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.
Bang-Yen Chen, Mehraj Ahmad Lone
exaly   +3 more sources

An improved Chen–Ricci inequality for special slant submanifolds in Kenmotsu space forms

Annales Polonici Mathematici, 2014
Simona Costache, Iuliana Zamfir
exaly   +2 more sources

Recent Developments on Chen–Ricci Inequalities in Differential Geometry

Infosys Science Foundation Series
Bang-Yen Chen, Adara M Blaga
exaly   +2 more sources

Metallic Structures on Product Manifolds and Chen-Ricci Inequalities

International Electronic Journal of Geometry
In 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,
openaire   +2 more sources

Hineva and Chen-Ricci Inequalities for Ricci Curvature of Submanifolds of Product Generalized Sasakian Space Forms

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, Adela Mihai, Ion Mihai, Mukut Mani Tripathi   +3 more
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Chen-Ricci Inequality for Contact CR-Warped Product Submanifolds of Cosymplectic Space Forms with Applications in Geometry and Physics

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, Cenap Özel, Monıka Satı, Patrick Linker   +3 more
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Chen-Ricci inequality for biwarped product submanifolds in complex space forms

AIMS Mathematics, 2021
Meraj Khan, Amira Ishan
exaly  

Chen-Ricci inequalities for statistical submanifolds

Mean Rous, Mukut Mani Tripathi
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