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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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B. Y. Chen Inequalities for Statistical Submanifolds in Sasakian Statistical Manifolds
2019In this paper, we derive a statistical version of B. Y. Chen inequality for statistical submanifolds in the Sasakian statistical manifolds with constant curvature and discuss the equality case of the inequality. We also give some applications of the inequalities obtained.
Mohd. Aquib +3 more
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Chen’s first inequality for Riemannian maps to complex space forms and $$\delta $$-invariants
Periodica Mathematica HungaricaThis paper's goal is to study Chen's first inequality and its applications to relate intrinsic and extrinsic geometric aspects of the Riemannian submanifolds of the source manifolds using the features of the target manifolds of Riemannian maps. Precisely, we study Chen's first inequality for Riemannian maps from Riemannian manifolds to complex space ...
Kiran Meena +2 more
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93.09 A proof of an inequality conjectured by J. Chen
The Mathematical Gazette, 2009Juan Wang, Ying Zhang
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Chen-like inequalities on lightlike hypersurfaces of semi-Riemannian manifolds
Advanced Studies: Euro-Tbilisi Mathematical Journal, 2021Rakesh Kumar
exaly
Statistical Maps and Chen’s First Inequality for These Maps
Sema Kazan, Aliya Naaz Suddiquiopenaire +1 more source