Results 11 to 20 of about 31,650 (302)

M - projective curvature tensor equipped with an ϵ-kenmotsu manifold

Journal of Applied Science and Education (JASE)
In this paper, we studied the properties of ϵ-Kenmotsu manifolds that posses an M -projective curvature tensor. We have shown that ϵ-Kenmotsu manifolds with an M -projectively flat and irrotational M -projective curvature tensor are locally isometric to the hyperbolic space Hn(c), where c = −ϵ2. Additionally, we have investigate the condition R(X, Y ) ·
N.V.C.Shukla, Mantasha
semanticscholar   +4 more sources

Some curvature restricted geometric structures for projective curvature tensors

International Journal of Geometric Methods in Modern Physics, 2018
The projective curvature tensor is an invariant under geodesic preserving transformations on semi-Riemannian manifolds. It possesses different geometric properties than other generalized curvature tensors. The main object of the present paper is to study some semisymmetric type and pseudosymmetric type curvature restricted geometric structures due to ...
Absos Ali Shaikh, Haradhan Kundu
openaire   +3 more sources

Generalized Sasakian-Space-Forms with Projective Curvature Tensor

Demonstratio Mathematica, 2014
The object of the present paper is to study Ф-projectively flat generalized Sasakian-space-forms, projectively locally symmetric generalized Sasakian-space-forms and projectively locally Ф-symmetric generalized Sasakian-space-forms.
Sarkar A., Akbar Ali
doaj   +2 more sources

A Study of the M-Projective Curvature Tensor in Generalized Recurrent and Birecurrent Finsler Spaces

Journal of Science & Technology
This paper aims to examine the properties of the M-projective curvature tensor in the context of generalized Finsler spaces, specifically within the framework of a -space.
A. Al-Qashbari
semanticscholar   +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

Some Results on Projective Curvature Tensor of Nearly Cosymplectic Manifold

European Journal of Pure and Applied Mathematics, 2018
In the nearly cosymplectic manifold, dened a tensor of type (4,0), it's called a projective curvature tensor. In this article we discuss an interesting question; what the geometric meaning of this tensor when it's act on nearly cosymplectic manifold? The answer of this question leads to get an application on Einstein space. In particular, the necessary
Nawaf Jaber Mohammed, Habeeb Mtashar Abood   +1 more
openaire   +3 more sources

Generalized projective curvature tensor of nearly cosymplectic manifold

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020
Summary: In this paper, we concentrated our attention on geometry of generalized projective tensor of nearly cosymplectic manifold. In particular, we studied the flatness property of generalized projective tensor. This property helped us to find the necessary and sufficient condition that nearly cosymplectic manifold is a generalized Einstein manifold.
ABOOD, Habeeb, MOHAMMED, Nawaf
openaire   +4 more sources

Pseudo projective curvature tensor satisfying some properties on a normal paracontact metric manifold

, 2018
In the present paper we have studied the curvature tensor of a normal paracontact metric manifold satisfying the conditions R(ξ,X)P=0, P(ξ,X)R=0, P(ξ,X)P=0, P(ξ,X)S=0, P(ξ,X)Z=0 and pseudo projective flatness, where R, P, S and Z denote the Riemannian ...
Ü. Yıldırım, M. Atc̣eken, S. Dirik
semanticscholar   +2 more sources

Projective Curvature Tensor of Riemannian Manifolds Admitting A Projective Semi-Symmetric Connection

Universal Journal of Mathematics and Applications, 2020
The aim of the present paper is to study the properties of Riemannian manifolds equipped with a projective semi-symmetric connection.
S. K. Chaubey, S. K. Yadav, Pankaj R. B. Kanaujia   +2 more
doaj   +4 more sources

On generalized M-projective curvature tensor of para-Sasakian manifold

Miskolc Mathematical Notes
The purpose of the present paper is to study some properties of generalized MMZR(X,Y)⋅M~∗∗=0ηM~∗∗(X,Y)⋅S=0ψ ...
Swati Jain, Teerathram Raghuwanshi, Manoj Kumar Pandey, Anil Goyal   +3 more
doaj   +2 more sources