Results 1 to 10 of about 10,472 (250)
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, Mihai Ion
exaly +4 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 ...
S K Chaubey, Mohan Khatri, Yanlin Li
exaly +4 more sources
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, Mihai Ion
exaly +3 more sources
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 ...
Stefan Haesen, Simona Decu
exaly +3 more sources
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 ...
Aliya Naaz Siddiqui +2 more
doaj +1 more source
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.
Ion Mihai, Radu-Ioan Mihai
doaj +1 more source
Hybrid Method for Accretive Variational Inequalities Involving Pseudocontraction
Eurasian Journal of Science and Engineering, 2023 We use strongly pseudocontractions to regularise a class of accretive variational inequalities in more general settings, the solutions are sought in the set of fixed points of another pseudocontraction.
Abdulnasir Isah
doaj +1 more source
δ(2,2)-Invariant for Lagrangian Submanifolds in Quaternionic Space Forms
Mathematics, 2020 In the geometry of submanifolds, Chen inequalities represent one of the most important tool to find relationships between intrinsic and extrinsic invariants; the aim is to find sharp such inequalities. In this paper we establish an optimal inequality for
Gabriel Macsim, Adela Mihai, Ion Mihai
doaj +1 more source
Padé approximant related to inequalities for Gauss lemniscate functions
Journal of Inequalities and Applications, 2016 Based on the Padé approximation method, we present new inequalities for Gauss lemniscate functions. We also solve a conjecture on inequalities for Gauss lemniscate functions proposed by Sun and Chen.
Juan Liu, Chao-Ping Chen
doaj +1 more source
Geometric Inequalities for a Submanifold Equipped with Distributions
Mathematics, 2022 The article introduces invariants of a Riemannian manifold related to the mutual curvature of several pairwise orthogonal subspaces of a tangent bundle. In the case of one-dimensional subspaces, this curvature is equal to half the scalar curvature of the
Vladimir Rovenski
doaj +1 more source