Results 21 to 30 of about 18,578 (116)
An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms
Mathematics, 2023 In the present paper, we investigate the geometry and topology of warped product Legendrian submanifolds in Sasakian space forms D2n+1(ϵ) and obtain the first Chen inequality that involves extrinsic invariants like the mean curvature and the length of ...
Fatemah Abdullah Alghamdi +3 more
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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 +3 more
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Optimal Inequalities for Hemi-Slant Riemannian Submersions
Mathematics, 2022 In the present paper, we establish some basic inequalities involving the Ricci and scalar curvature of the vertical and the horizontal distributions for hemi-slant submersions having the total space a complex space form. We also discuss the equality case
Mehmet Akif Akyol +3 more
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B.-Y. Chen's Inequality for K\"ahler-like Statistical Submersions
International Electronic Journal of Geometry, 2022 In this paper, we first define the notion of Lagrangian statistical submersion from a K\"ahler-like statistical manifold onto a statistical manifold.
A. Siddiqui
semanticscholar +1 more source
Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature
Mathematics, 2018 We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.
Adela Mihai, Ion Mihai
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Journal of Inequalities and Applications, 2020 In the present, we first obtain Chen–Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary ...
Akram Ali +3 more
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Ricci curvature inequalities for warped product skew CR-submanifolds in Cosymplectic space forms
Annals of Communications in Mathematics, 2021 The main objective of this paper is to achieve the Chen-Ricci inequality for skew CR-warped product submanifold isometrically immersed in a Cosymplectic space form in the expressions of the squared norm of mean curvature vector and warping functions. The
semanticscholar +1 more source
Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds
Mathematics, 2019 Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui +2 more
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International Electronic Journal of GeometryIn 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).
Abdulqader Mustafa +3 more
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The Architecture of Consolidation: Nests of Corporate Control in the Agrochemical Network
Journal of Agrarian Change, EarlyView.ABSTRACT Research on agricultural consolidation tends to equate corporate control with the dominance of a few large firms. We take an alternative approach that examines control through the explosive growth of legally distinct firms that fragment accountability. Using a new global dataset of 6982 entities linked to BASF, Bayer, Corteva, Dow, DuPont, FMC,
Loka Ashwood +5 more
wiley +1 more source