Results 31 to 40 of about 351 (243)

Generalized Sasakian-Space-Forms with Projective Curvature Tensor

open access: yesDemonstratio 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   +1 more source

Deszcz Pseudo Symmetry Type LP-Sasakian Manifolds

open access: yesAnnals 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   +1 more
doaj   +1 more source

Geometric inequivalence of metric and Palatini formulations of General Relativity

open access: yesPhysics 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   +4 more
doaj   +1 more source

On generalized pseudo-projective curvature tensor of para-Kenmotsu manifolds

open access: yesBulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science, 2021
The object of the present paper is to generalize pseudo-projective curva-ture tensor of para-Kenmotsu manifold with the help of a new generalized(0,2) symmetric tensorZintroduced by Mantica and Suh. Various geo-metric properties of generalized pseudo-projective curvature tensor of para-Kenmotsu manifold have been studied. It is shown that a generalized
Goyal, A.   +3 more
openaire   +3 more sources

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

open access: yesISRN 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

Generalized projective curvature tensor of nearly cosymplectic manifold

open access: yesCommunications 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   +3 more sources

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

open access: yes, 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   +2 more
openaire   +2 more sources

Some Results on Projective Curvature Tensor of Nearly Cosymplectic Manifold

open access: yesEuropean 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   +1 more
openaire   +2 more sources

Generalized bilinear connection on the space of centered planes

open access: yesДифференциальная 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

Generalized Quasi-Einstein Manifolds in Contact Geometry

open access: yesMathematics, 2020
In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds.
İnan Ünal
doaj   +1 more source

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