On pseudo-projective curvature tensor of sasakian manifold admitting zamkovoy connection [PDF]
Journal of Hyperstructures, 2021 The purpose of the present paper is to study some properties of Sasakian manifolds with respect to Zamkovoy connection. Here, we study pseudo-projectively flat, quasi-pseudoprojectively flat and φ-pseudo-projectively flat Sasakian manifolds admitting ...
Abhijit Mandal, Ashoke Das
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Impact of m-projective curvature tensor in f (, G)-gravity and f (, m )-gravity
Physica Scripta, 2023 This article deals with the characterization of a spacetime and modified gravity, such as f,G -gravity and f,m -gravity endowed with the m-projective curvature tensor.
U. De, Dipankar Hazra
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Curvature tensor of connection in principal bundle of Cartan's projective connection space
Дифференциальная геометрия многообразий фигур, 2019 We considered Cartan's projective connection space with structure equations generalizing the structure equations of the projective space and the condition of local projectivity (this condition is an analogue to the equiprojectivity condition in the ...
K. Bashashina
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ON M-PROJECTIVE CURVATURE TENSOR OF PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION
South East Asian J. of Mathematics and Mathematical Sciences, 2022 In this paper, relation between curvature tensors of Levi-Civita connection and Zamkovoy connection on para-Kenmotsu manifolds have been obtained.Quasi M-projectively flat, M-projectively flat and φ-M-projectively flat paraKenmotsu manifolds admitting ...
Swati Sharma +3 more
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Some Curvature Conditions on a Para-Sasakian Manifold with Canonical Paracontact Connection
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 +2 more
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Certain Curvature Conditions on Kenmotsu Manifolds and 🟉-η-Ricci Solitons
Axioms, 2023 The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with 🟉-η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study the notion of 🟉-η-
Halil İbrahim Yoldaş +2 more
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Сurvature-torsion tensor for Cartan connection
Дифференциальная геометрия многообразий фигур, 2019 A Lie group containing a subgroup is considered. Such a group is a principal bundle, a typical fiber of this principal bundle is the subgroup and a base is a homogeneous space, which is obtained by factoring the group by the subgroup.
Yu. Shevchenko
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Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle
Mathematics, 2022 The objective of this paper is to explore the complete lifts of a quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle.
Mohammad Nazrul Islam Khan +2 more
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Affine projection tensor geometry: Decomposing the curvature tensor when the connection is arbitrary and the projection is tilted [PDF]
Journal of Mathematical Physics, 1994 This paper constructs the geometrically natural objects which are associated with any projection tensor field on a manifold with any affine connection. The approaches to projection tensor fields which have been used in general relativity and related theories assume normal projection tensors of codimension one and connections which are metric compatible
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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 +1 more
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