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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.
Bang-Yen Chen +2 more
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Recent Developments on Chen–Ricci Inequalities in Differential Geometry
Infosys Science Foundation SeriesBang-Yen Chen +2 more
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On the Bossel-Daners Inequality for the p-Laplacian on Complete Riemannian Manifolds
Results in MathematicsIn this paper, we obtain the Bossel-Daners inequality for the first eigenvalue of the p-Laplacian with Robin boundary conditions on complete Riemannian manifolds with lower Ricci curvature bounds.
Daguang Chen, Shan Li, Yilun Wei
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ACS condition on minimal isoparametric hypersurfaces of positive Ricci curvature in unit spheres
Glasgow Mathematical JournalWe study the Ambrozio–Carlotto–Sharp (ACS) criterion on minimal isoparametric hypersurfaces $N^{n+1}\subset S^{n+2}$
Niang-Shin Chen
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The Stability Inequality for Ricci-Flat Cones
, 2011In this article, we thoroughly investigate the stability inequality for Ricci-flat cones. Perhaps most importantly, we prove that the Ricci-flat cone over ℂP2 is stable, showing that the first stable non-flat Ricci-flat cone occurs in the smallest ...
Stuart J. Hall +2 more
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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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Ricci curvature on warped product submanifolds of complex space forms and its applications
International Journal of Geometric Methods in Modern Physics (IJGMMP), 2019The upper bound of Ricci curvature conjecture, also known as Chen-Ricci conjecture, was formulated by Chen [B. Y. Chen, Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimension, Glasgow Math. J.
Akram Ali +3 more
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Chen-Ricci inequalities for statistical submanifolds
Mean Rous, Mukut Mani Tripathiopenaire +1 more source
On Ricci curvature of isotropic and Lagrangian submanifolds in complex space forms
, 2000Bang‐Yen Chen
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