Results 11 to 20 of about 218 (125)

Analysis of the Quasi-Concircular Curvature Tensor on Sequential Warped Product Manifolds

Mathematics
This paper investigates the quasi-concircular curvature tensor on sequential warped product manifolds, which extend the classical singly warped product structure.
Rajesh Kumar, Sameh Shenawy, Johnson Lalrohlua, Hanan Alohali, Carlo Mantica   +4 more
doaj   +3 more sources

Normal paracontact metric space form on $W_0$-curvature tensor

Journal of Amasya University the Institute of Sciences and Technology, 2023
In this article, normal paracontact metric space forms are investigated on $W_0$-curvature tensor. Characterizations of normal paracontact space forms are obtained on $W_0$-curvature tensor.
Pakize Uygun, Mehmet Atçeken, Tuğba Mert   +2 more
doaj   +2 more sources

Some Important Properties of Almost Kenmotsu (κ,µ,ν)−Space on the Concircular Curvature Tensor

Fundamental Journal of Mathematics and Applications, 2023
In this article, pseudoparallel submanifolds for almost Kenmotsu left(kappa,mu,nuright)?space are investigated. The almost Kenmotsu left(kappa,mu,nuright)?space is considered on the concircular curvature tensor. Submanifolds of these manifolds with properties such as concircular pseudoparallel, concircular 2?pseudoparallel, concircular Ricci ...
Mert, Tuğba, Atçeken, Mehmet
core   +4 more sources

Variational problems of normal curvature tensor and concircular scalar fields [PDF]

Tohoku Mathematical Journal, 2003
It is well known that, for a submanifold \(M^m\) in a space form \(\tilde M(c)\), the normal curvature tensor \(R^\perp\) is invariant under conformal transformations of the ambient space. Therefore, the functional \({\mathcal R}^\perp_q[\phi]=\int_M \| R^\perp\| ^qdv\), defined on the space of immersions \(\phi\colon M^m\to \tilde M(c)\), is a ...
Sakamoto, Kunio
openaire   +3 more sources

Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection [PDF]

International Journal of Mathematics and Mathematical Sciences, 2012
We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an η-Einstein manifold.
Bilal Eftal Acet, Erol Kılıç, Selcen Yüksel Perktaş   +2 more
doaj   +2 more sources

The Properties of Projective, Concircular and Conharmonic Curvature Tensor Fields on a Complex Sasakian Manifold

Turkish Journal of Mathematics and Computer Science, 2022
In this article, the properties of projective, concircular and conharmonic curvature tensor fields on acomplex Sasakian manifold are investigated.
Vanlı, Aysel
core   +5 more sources

On an Almost C(α)-Manifold Satisfying Certain Conditions on the Concircular Curvature Tensor [PDF]

Pure and Applied Mathematics Journal, 2015
We classify almost C(α)-manifolds, which satisfy the curvature conditions (Z ) (ξ,X)R=0, (Z ) (ξ,X) (Z ) =0, (Z ) (ξ,X)S=0 and (Z ) (ξ,X)P=0, where (Z ) is the concircular curvature tensor, P is the Weyl projective curvature tensor, S is the Ricci tensor and R is Riemannian curvature tensor of manifold.
Umit Yildirim
exaly   +2 more sources

Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2016
Recently the present authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor.
Baishya Kanak Kanti, Chowdhury Partha Roy   +1 more
doaj   +2 more sources

Concircular curvature tensor of nearly cosymplectic manifolds in terms of the generalized Tanaka-Webster connection [PDF]

Filomat
In this paper, we study concircular curvature tensor of nearly cosymplectic manifolds in terms of the generalized Tanaka-Webster connection and then, we emphasized the properties that concircular curvature tensor of nearly cosymplectic manifolds in terms of the generalized Tanaka-Webster connection provides in case of flatness, ?-concircularly flatness,
Ayar, Gülhan, Aktan, N., Madan, Ç.
openaire   +4 more sources

On Almost C(α)-Manifold Satisfying Certain Curvature Conditions

Cumhuriyet Science Journal
This research article is about the geometry of the almost C(α)- manifold. Some important properties of the almost C(α)- manifold with respect to the W_3- curvature tensor, such as W_3-flat and W_3- semi-symmetry, are investigated.
Pakize Uygun, Tuğba Mert, Mehmet Atçeken   +2 more
doaj   +2 more sources