Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
General Chen Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
View through CrossRef
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. The objective of the present article is to establish the general Chen inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature.
Title: General Chen Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
Description:
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.
The objective of the present article is to establish the general Chen inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature.
Related Results
Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
Generalized Wintgen Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
The geometry of Hessian manifolds is a fruitful branch of physics, statistics, Kaehlerian and affine differential geometry. The study of inequalities for statistical submanifolds i...
Riemannian Curvature of a Sliced Contact Metric Manifold
Riemannian Curvature of a Sliced Contact Metric Manifold
Contact geometry become a more important issue in the mathematical world with the works which had done in the 19th century. Many mathematicians have made studies on contact manifol...
The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
The δ(2,2)-Invariant on Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
We establish Chen inequality for the invariant δ ( 2 , 2 ) on statistical submanifolds in Hessian manifolds of constant Hessian curvature. Recently, in co-operation with Ch...
Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature
Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature
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 resp...
LVM manifolds and lck metrics
LVM manifolds and lck metrics
Abstract
In this paper, we compare two type of complex non-Kähler manifolds : LVM and lck manifolds. First, lck manifolds (for locally conformally Kähler manifolds) admit a...
A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature
A Note on Pseudo-Umbilical Submanifolds of Hessian Manifolds with Constant Hessian Sectional Curvature
The geometry of Hessian manifold, as a branch of statistics,
physics, Kaehlerian, and affine differential geometry, is deeply fruitful and a
new field for scientists. However, insp...
Study on the myopia control effect of OK lens on children with different corneal curvature
Study on the myopia control effect of OK lens on children with different corneal curvature
Abstract
Objective: To explore the effect of OK lens on myopia control in children with different corneal curvature.
Method: A total of 178 myopic children admitted to our...
Submanifolds in Normal Complex Contact Manifolds
Submanifolds in Normal Complex Contact Manifolds
In the present article we initiate the study of submanifolds in normal complex contact metric manifolds. We define invariant and anti-invariant ( C C -totally real) submanifo...