Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
$\mathcal{PSR}-$Submersions on Kaehler Manifolds and Casorati Inequalities along the Submersion
View through CrossRef
In this paper, we offer a new submersion of a Kaehler manifold.This new class of submersion includes hemi-slant submersion,semi-slant submersion and bi-slant submersion as special classes. This partially slant Riemannian submersion, which we refer to briefly as $\boldsymbol{\mathcal{PSR}}-$submersion from Kaehler manifoldsto Riemannian manifolds, will be presented through through both trivial and non-trivial examples and characterizations. We also investigate the integrability and totally geodesic nature of the distributions and the $J-$pluriharmonicity ofsuch submersion. Finally, we investigate several curvature relations in complex space forms, involving Casorati curvatures for $\boldsymbol{\mathcal{PSR}}-$submersion.
Title: $\mathcal{PSR}-$Submersions on Kaehler Manifolds and Casorati Inequalities along the Submersion
Description:
In this paper, we offer a new submersion of a Kaehler manifold.
This new class of submersion includes hemi-slant submersion,semi-slant submersion and bi-slant submersion as special classes.
This partially slant Riemannian submersion, which we refer to briefly as $\boldsymbol{\mathcal{PSR}}-$submersion from Kaehler manifoldsto Riemannian manifolds, will be presented through through both trivial and non-trivial examples and characterizations.
We also investigate the integrability and totally geodesic nature of the distributions and the $J-$pluriharmonicity ofsuch submersion.
Finally, we investigate several curvature relations in complex space forms, involving Casorati curvatures for $\boldsymbol{\mathcal{PSR}}-$submersion.
Related Results
An Algebraic Approach to the Goldbach and Polignac Conjectures
An Algebraic Approach to the Goldbach and Polignac Conjectures
This paper will give both the necessary and sufficient conditions required to find a counter-example to the Goldbach Conjecture by using an algebraic approach where no knowledge of...
An extension of Herstein's theorem on Banach algebra
An extension of Herstein's theorem on Banach algebra
<abstract><p>Let $ \mathcal{A} $ be a $ (p+q)! $-torsion free semiprime ring. We proved that if $ \mathcal{H}, \mathcal{D} : \mathcal{A}\to \mathcal{A} $ are two additi...
On the co-annihilating ideal graph of commutative rings
On the co-annihilating ideal graph of commutative rings
In this research article, we consider a commutative ring with unity denoted as
...
Analyzing the Weyl Construction for Dynamical Cartan Subalgebras
Analyzing the Weyl Construction for Dynamical Cartan Subalgebras
Abstract
When the reduced twisted $C^*$-algebra $C^*_r({\mathcal{G}}, c)$ of a non-principal groupoid ${\mathcal{G}}$ admits a Cartan subalgebra, Renault’s work on C...
On Korn’s First Inequality in a Hardy-Sobolev Space
On Korn’s First Inequality in a Hardy-Sobolev Space
AbstractKorn’s first inequality states that there exists a constant such that the ${\mathcal {L}}^{2}$
L
2
...
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...
P-736 Elevated levels of ambient air pollutants increase the primary sex ratio in human embryos
P-736 Elevated levels of ambient air pollutants increase the primary sex ratio in human embryos
Abstract
Study question
Are there any associations between ambient outdoor air pollution and the primary sex ratio (PSR)?
...
P–736 Elevated levels of ambient air pollutants increase the primary sex ratio in human embryos
P–736 Elevated levels of ambient air pollutants increase the primary sex ratio in human embryos
Abstract
Study question
Are there any associations between ambient outdoor air pollution and the primary sex ratio (PSR)?
...