Results 171 to 180 of about 13,449 (192)

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,
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An improved first Chen inequality for Legendrian submanifolds in Sasakian space forms

Periodica Mathematica Hungarica, 2016
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Ion Mihai, Ileana Presura
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B. Y. Chen Inequalities for Statistical Submanifolds in Sasakian Statistical Manifolds

2019
In 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, Michel Nguiffo Boyom, Ali Hussain Alkhaldi, Mohammad Hasan Shahid   +3 more
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B.-Y. Chen-Type Inequalities for Three Dimensional Smooth Hypersurfaces

International Electronic Journal of Geometry
By J.F. Nash’s Theorem, any Riemannian manifold can be embedded into a Euclidean ambient space with dimension sufficiently large. S.-S. Chern pointed out in 1968 that a key technical element in applying Nash’s Theorem effectively is finding useful relationships between intrinsic and extrinsic elements that are characterizing immersions.
Bogdan Suceava, Anh Du Tran
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Chen’s first inequality for Riemannian maps to complex space forms and $$\delta $$-invariants

Periodica Mathematica Hungarica
This 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, Bayram Sahin, Hemangi Madhusudan Shah   +2 more
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93.09 A proof of an inequality conjectured by J. Chen

The Mathematical Gazette, 2009
Juan Wang, Ying Zhang
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Chen-like inequalities on lightlike hypersurfaces of semi-Riemannian manifolds

Advanced Studies: Euro-Tbilisi Mathematical Journal, 2021
Rakesh Kumar, Rakesh Kumar Nagaich
exaly  

Chen’s Inequalities for Submanifolds in (<i>ĸ, &#181</i>)-Contact Space Form with a Semi-Symmetric Non-Metric Connection

Journal of Applied Mathematics and Physics, 2018
Faisal Shahzad
exaly  

Chen-Ricci inequalities for statistical submanifolds

Mean Rous, Mukut Mani Tripathi
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Statistical Maps and Chen’s First Inequality for These Maps

Sema Kazan, Aliya Naaz Siddiqui
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