Results 1 to 10 of about 208,286 (165)

An Algebraic Inequality with Applications to Certain Chen Inequalities [PDF]

Axioms, 2021
We give a simple proof of the Chen inequality for the Chen invariant δ(2,…,2)︸k terms of submanifolds in Riemannian space forms.
Ion Mihai
exaly   +4 more sources

General Chen Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature [PDF]

Mathematics, 2022
Chen’s first inequality for statistical submanifolds in Hessian manifolds of constant Hessian curvature was obtained by B.-Y. Chen et al. Other particular cases of Chen inequalities in a statistical setting were given by different authors.
Ion Mihai
exaly   +4 more sources

Chen optimal inequalities of CR-warped products of generalized Sasakian space form [PDF]

Journal of Taibah University for Science, 2020
Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui, Akram Ali, Ali H Alkhaldi   +2 more
exaly   +3 more sources

Chen Inequalities for Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms

Mathematics, 2022
In this paper, we prove some inequalities between intrinsic and extrinsic curvature invariants, namely involving the Chen first invariant and the mean curvature of totally real and holomorphic spacelike submanifolds in statistical manifolds of type para ...
Simona Decu, Stefan Haesen
exaly   +3 more sources

Chen-Type Inequality for Generic Submanifolds of Quaternionic Space Form and Its Application

Journal of New Theory
In 1993, the theory of Chen invariants started when Chen wrote basic inequalities for submanifolds in space forms. This inequality is called Chen’s first inequality. Afterward, many geometers studied many papers dealing with this new inequality.
Amine Yılmaz
doaj   +2 more sources

Some Chen Inequalities for Submanifolds in Trans-Sasakian Manifolds Admitting a Semi-Symmetric Non-Metric Connection [PDF]

Axioms
In the present article, we study submanifolds tangent to the Reeb vector field in trans-Sasakian manifolds. We prove Chen’s first inequality and the Chen–Ricci inequality, respectively, for such submanifolds in trans-Sasakian manifolds which admit a semi-
Mohammed Mohammed, Fortuné Massamba, Ion Mihai, Abd Elmotaleb A. M. A. Elamin, M. Saif Aldien   +4 more
doaj   +2 more sources

Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms

Axioms, 2022
In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized ...
Yanlin Li, Mohan Khatri, Sudhakar Kumar Chaubey   +2 more
exaly   +3 more sources

Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds [PDF]

Mathematics, 2019
Hulya Ayti̇Mur, Mayuko Kon, Adela Mihai   +2 more
exaly   +2 more sources

B.-Y. CHEN INEQUALITIES FOR SUBMANIFOLDS IN GENERALIZED COMPLEX SPACE FORMS [PDF]

Bulletin of the Korean Mathematical Society, 2003
Jeong-Sik Kim
exaly   +2 more sources

Chen-like Inequalities for Submanifolds in Kähler Manifolds Admitting Semi-Symmetric Non-Metric Connections

Symmetry
Ion Mihai, Andréea Olteanu
exaly   +2 more sources