Results 41 to 50 of about 31,650 (302)
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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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
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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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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 +4 more
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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
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AIMS MathematicsThis 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 +3 more
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The European Physical Journal PlusThis 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
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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 +2 more
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