Results 131 to 140 of about 276 (158)

A Study on Projective Curvature Tensor in Trans-Sasakian Manifolds

2016
In this paper we show that trans-Sasakian manifolds satisfying the conditions R(X, Y ) · S = 0, P (ξ, X) · S = 0 are Einstein manifold.
Manjunath, S. N., Jayashree, K. J., Rashmi, P.   +2 more
openaire   +1 more source

On M-projective curvature tensor of Lorentzian β-Kenmotsu manifold

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science
In this paper, we explore the characteristics of Lorentzian β - Kenmotsu manifolds admitting M - projective curvature tensor. We demonstrate that M - projectively flat and irrotational M - projective curvature tensor of Lorentzian β - Kenmotsu manifolds are locally isometric to hyperbolic space Hn(c), where c = −β2.
Mishra, Anand Kumar, Prajapati, Pawan, Rajin, R., Singh, Gyanvendra Pratap   +3 more
openaire   +1 more source

\(M\)-projective curvature tensor over cosymplectic manifolds

2019
Summary: In this paper, properties of the \(\alpha\)-cosymplectic manifolds with \(M\)-projective curvature tensor are studied. We obtain some connections between different curvature tensors.
Ayar, Gülhan, Chaubey, S. K.
openaire   +2 more sources

Some Curvature Conditions Provided by the Projective Curvature Tensor on the Almost C(?)-Manifold

In this article, the projective curvature tensor on a C (?)-manifold is discussed. Some special curvature conditions provided by the projective curvature tensor on the Riemann, Ricci, concircular curvature tensors have been investigated. As a result of the curvature conditions given with the projective curvature tensor on a C (?)-manifold, cases such ...
Mert, Tuğba, Atçeken, Mehmet, Uygun, Pakize   +2 more
openaire   +2 more sources

\(K\)-contact and Sasakian manifold with conservative projective curvature tensor

2012
The authors deal with contact manifolds whose projective curvature tensor \(P\) is conservative, i.e. \(\text{div} P = 0\). They show that if \(M_{2n + 1} (\varphi, \xi, \eta, g)\) is a \(K\)-contact Riemannian manifold then it is Einstein and \(P (\xi, X) \xi = 0\) for every \(X\), and if \(M_{2n + 1} (\varphi, \xi, \eta, g)\) is a Sasakian manifold ...
DE, U., GHOSH, J.
openaire   +2 more sources

Generalized Lorentzian Sasakian-Space-Forms with M-Projective Curvature Tensor

Mathematics, 2022
Prakasha D G, Abdul Haseeb, Fatemah Mofarreh   +2 more
exaly  

On the Weyl projective curvature tensor of an \(N(k)\)-contact metric manifold

2010
The authors classify \(N(k)\)-contact metric manifolds which satisfy the conditions: \[ P(\zeta,X). R=0,\;R(\zeta,X). P=0,\;P(\zeta,X). S=0,\;P(\zeta,X). P=0,\;P(\zeta,X). Z=0, \] where \(P\) is the Weyl projective curvature tensor, \(Z\) is the concircular curvature tensor, \(R\) is the Riemannian- Christoffel curvature tensor and \(S\) is the Ricci ...
MURATHAN, CENGİZHAN, ARSLAN, KADRİ, DE, UDAY CHAND, YILDIZ, AHMET   +3 more
openaire   +2 more sources

Pseudo-projective curvature tensor on warped product manifolds and its applications in space-times

SUT Journal of Mathematics, 2021
Arindam Bhattacharyya, Nandan Bhunia, Sampa Pahan   +2 more
exaly  

On generalized projective P-curvature tensor

Journal of Geometry and Physics, 2021
Abdallah Syied, Uday Chand De, Sameh Shenawy   +2 more
exaly  

M-projective curvature tensor on an (LCS)2n+1-manifold

Journal of Applied Analysis, 2021
Venkatesha Venkatesha
exaly