Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Submanifolds in Normal Complex Contact Manifolds
View through CrossRef
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) submanifolds in such manifolds and start the study of their basic properties. Also, we establish the Chen first inequality and Chen inequality for the invariant δ ( 2 , 2 ) for C C -totally real submanifolds in a normal complex contact space form and characterize the equality cases. We also prove the minimality of C C -totally real submanifolds of maximum dimension satisfying the equalities.
Title: Submanifolds in Normal Complex Contact Manifolds
Description:
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) submanifolds in such manifolds and start the study of their basic properties.
Also, we establish the Chen first inequality and Chen inequality for the invariant δ ( 2 , 2 ) for C C -totally real submanifolds in a normal complex contact space form and characterize the equality cases.
We also prove the minimality of C C -totally real submanifolds of maximum dimension satisfying the equalities.
Related Results
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...
On Flores Island, do "ape-men" still exist? https://www.sapiens.org/biology/flores-island-ape-men/
On Flores Island, do "ape-men" still exist? https://www.sapiens.org/biology/flores-island-ape-men/
<span style="font-size:11pt"><span style="background:#f9f9f4"><span style="line-height:normal"><span style="font-family:Calibri,sans-serif"><b><spa...
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...
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...
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...
Models de distribució sobre el símplex
Models de distribució sobre el símplex
Les dades composicionals són vectors les components dels quals representen proporcions respecte d'un total, i per tant estan sotmesos a la restricció que la suma de les seves compo...
Shared Actuator Manifold - An Innovative Conception to MInimize Costs
Shared Actuator Manifold - An Innovative Conception to MInimize Costs
Abstract
Subsea Manifold has been used as a very attractive alternative in the development of subsea fields. The discover of giant fields in deep waters and the c...
General Chen Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
General Chen Inequalities for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature
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 inequalitie...