Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
B.-Y. Chen’s inequality for pointwise CR-slant warped products in cosymplectic manifolds
View through CrossRef
Recently, pointwise CR-slant warped products introduced by Chen and Uddin in
[14] for Kaehler manifolds. In the context of almost contact metric
manifolds, in this paper, we study these submanifolds in cosymplectic
manifolds. We investigate the geometry of such warped product and prove
establish a lower bound relation between the second fundamental form and
warping function. The equality case is also investigated.
Title: B.-Y. Chen’s inequality for pointwise CR-slant warped products in cosymplectic manifolds
Description:
Recently, pointwise CR-slant warped products introduced by Chen and Uddin in
[14] for Kaehler manifolds.
In the context of almost contact metric
manifolds, in this paper, we study these submanifolds in cosymplectic
manifolds.
We investigate the geometry of such warped product and prove
establish a lower bound relation between the second fundamental form and
warping function.
The equality case is also investigated.
Related Results
Pointwise semi-slant Riemannian maps into almost Hermitian manifolds and Casorati inequalities
Pointwise semi-slant Riemannian maps into almost Hermitian manifolds and Casorati inequalities
UDC 514
As a natural generalization of slant submanifolds [B.-Y. Chen, Bull. Austral. Math. Soc., 41, No. 1, 135 (1990)], slant submersions [B. Şahin, Bull. Math. Soc. Sci. Math....
Critical point equation on almost f-cosymplectic manifolds
Critical point equation on almost f-cosymplectic manifolds
PurposeBesse first conjectured that the solution of the critical point equation (CPE) must be Einstein. The CPE conjecture on some other types of Riemannian manifolds, for instance...
Casorati curvatures of pointwise slant submanifolds in para-complex space forms
Casorati curvatures of pointwise slant submanifolds in para-complex space forms
UDC 515.1
We define and study pointwise slant and pointwise semi-slant submanifolds in para-Kaehler manifolds. Some theorems, characterizations, and examples are obtained for point...
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...
WARPED PRODUCT SEMI-SLANT SUBMANIFOLDS IN LOCALLY RIEMANNIAN PRODUCT MANIFOLDS
WARPED PRODUCT SEMI-SLANT SUBMANIFOLDS IN LOCALLY RIEMANNIAN PRODUCT MANIFOLDS
AbstractIn this paper, we prove that there are no warped product proper semi-slant submanifolds such that the spheric submanifold of a warped product is a proper slant. But we show...
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...
Chen-Type Inequalities for PS-Submanifolds in Complex Space Forms
Chen-Type Inequalities for PS-Submanifolds in Complex Space Forms
In this paper, we investigate Chen’s δ-invariant for partially slant (PS) submanifolds of complex space forms. A PS-submanifold admits an orthogonal decomposition of the tangent bu...
On generalized weakly symmetric $\alpha$-cosymplectic manifolds
On generalized weakly symmetric $\alpha$-cosymplectic manifolds
This study is concerned with some results on generalized weakly symmetric and generalized weakly Ricci-symmetric $\alpha$-cosymplectic manifolds. We prove the necessary and suffici...