Results 51 to 60 of about 445,463 (303)

On a (k,mu)-paracontact manifold satisfying some conditions on the projective curvature tensor

Gulf Journal of Mathematics, 2021
In the present paper, we study the curvature tensors of (k,mu)-paracontact manifold satisfying the conditions P(ξ ,Y)Z=0, P(ξ ,Y)P=0, P(ξ ,Y)S =0 and (ξ,Y)R=0. According these cases, (k,μ)-paracontact manifolds have been characterized.
Pakize Uygun, M. Atc̣eken
semanticscholar   +1 more source

Geometric inequivalence of metric and Palatini formulations of General Relativity

Physics Letters B, 2020
Projective invariance is a symmetry of the Palatini version of General Relativity which is not present in the metric formulation. The fact that the Riemann tensor changes nontrivially under projective transformations implies that, unlike in the usual ...
Cecilia Bejarano, Adria Delhom, Alejandro Jiménez-Cano, Gonzalo J. Olmo, Diego Rubiera-Garcia   +4 more
doaj   +1 more source

On the M-Projective Curvature Tensor of -Contact Metric Manifolds [PDF]

ISRN Geometry, 2013
The object of the present paper is to study some curvature conditions on -contact metric manifolds.
R. N. Singh, Shravan K. Pandey
openaire   +1 more source

Geometric analysis of the pseudo-projective curvature tensor in doubly and twisted warped product manifolds

AIMS Mathematics
This study investigates the pseudo-projective curvature tensor within the framework of doubly and twisted warped product manifolds. It offers significant insights into the interaction between the pseudo-projective curvature tensor and both the base and ...
A. Elsharkawy, Hoda K. Elsayied, A. Tawfiq, Fatimah Alghamdi   +3 more
semanticscholar   +1 more source

Impact of pseudo-projective curvature tensor on sequential doubly warped product manifolds with physical applications

The European Physical Journal Plus
This paper investigates the geometric and physical properties of the pseudo-projective curvature tensor in the context of Sequential Doubly Warped Product Manifolds (SDWPM).
A. Elsharkawy, U. De
semanticscholar   +1 more source

DENSITY CONCOMITANTS OF THE CURVATURE TENSOR Rαᵦᵧᵟ IN THE PROJECTIVE-EUCLIDEAN SPACE

Demonstratio Mathematica, 1976
Leon Bieszk, Danuta Stygar
exaly   +2 more sources

GENERALIZATION OF WELY'S PROJECTIVE CURVATURE TENSOR IN FINSLER SPACES: A STUDY ON GENERALIZED W-RECURRENT, BIRECURRENT, AND RICCI TENSORS

Electronic Journal of University of Aden for Basic and Applied Sciences
In this study, we explore the generalization of Wely’s projective curvature tensor \(W_{jkh}^i\) satisfying a specific recurrence relation (3.1), which defines a generalized W-recurrent space, denoted as G2nd W|h - BRFn .
A. Al-Qashbari, F. Al-ssallal
semanticscholar   +1 more source

On the application of M-projective curvature tensor in general relativity

, 2021
In this paper the application of the $M$-projective curvature tensor in the general theory of relativity has been studied. Firstly, we have proved that an $M$-projectively flat quasi-Einstein spacetime is of a special class with respect to an associated symmetric tensor field, followed by the theorem that a spacetime with vanishing $M$-projective ...
Chattopadhyay, Kaushik, Bhattacharyya, Arindam, Debnath, Dipankar   +2 more
openaire   +2 more sources

Pseuso-Projective and Quasi Conformal Curvature Tensors on Riemannian Submersions. [PDF]

, 2021
In this study, pseuso-projective and quasi-conformal curvature tensors on a Rieman-nian Submersion have been examined and on a Riemannian Submersion new curva-ture relations for pseuso-projective curvature and quasi-conformal curvature tensor under ...
Ayar, Gülhan
core   +2 more sources

Generalized bilinear connection on the space of centered planes

Дифференциальная геометрия многообразий фигур, 2022
We continue to study the space of centered planes in projective space . In this paper, we use E. Cartan's method of external forms and the group-theoretical method of G. F. Laptev to study the space of centered planes of the same dimension. These methods
O.O. Belova
doaj   +1 more source