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Chen-Ricci inequality for biwarped product submanifolds in complex space forms
AIMS Mathematics, 2021 : The main objective of this paper is to achieve the Chen-Ricci inequality for biwarped product submanifolds isometrically immersed in a complex space form in the expressions of the squared norm of mean curvature vector and warping functions.The equality
Amira A. Ishan, M. Khan
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Segment Inequality and Almost Rigidity Structures for Integral Ricci Curvature [PDF]
International mathematics research notices, 2020 We will show the Cheeger–Colding segment inequality for manifolds with integral Ricci curvature bound. By using this segment inequality, the almost rigidity structure results for integral Ricci curvature will be derived by a similar method as in [1 ...
Linan Chen
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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
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Improved Chen–Ricci inequality for curvature-like tensors and its applications [PDF]
, 2011 We present Chen–Ricci inequality and improved Chen–Ricci inequality for curvature like tensors. Applying our improved Chen–Ricci inequality we study Lagrangian and Kaehlerian slant submanifolds of complex space forms, and C -totally real submanifolds of ...
M. Tripathi
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Mathematics, 2022 The geometry of Hessian manifolds is a fruitful branch of physics, statistics, Kaehlerian and affine differential geometry. The study of inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature was truly initiated in ...
A. Siddiqui +2 more
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A New Algebraic Inequality and Some Applications in Submanifold Theory
Mathematics, 2021 We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
I. Mihai, Radu-Ioan Mihai
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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
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Chen-Ricci Inequality for Isotropic Submanifolds in Locally Metallic Product Space Forms
AxiomsIn this article, we study isotropic submanifolds in locally metallic product space forms. Firstly, we establish the Chen–Ricci inequality for such submanifolds and determine the conditions under which the inequality becomes equality.
Yanlin Li +4 more
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Chen–Ricci inequality for anti-invariant Riemannian submersions from conformal Kenmotsu space form
Arabian Journal of MathematicsThe aim of this paper is twofold: first, we obtain various curvature inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of anti-invariant Riemannian submersion defined from conformal Kenmotsu space form ...
T. Wani, M. Lone
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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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