Results 41 to 50 of about 118 (95)
This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney +3 more
wiley +1 more source
On Generalized ϕ‐Recurrent (ϵ, δ)‐Trans‐Sasakian Manifolds
We study generalized ϕ‐recurrent (ϵ, δ)‐trans‐Sasakian manifolds. A relation between the associated 1‐forms A and B and relation between characteristic vector field ξ and the vector fields ρ1, ρ2 for a generalized ϕ‐recurrent.
C. S. Bagewadi +3 more
wiley +1 more source
In this article, pseudoparallel submanifolds for almost Kenmotsu $\left( \kappa,\mu,\nu\right) -$space are investigated. The almost Kenmotsu $\left( \kappa,\mu,\nu\right) -$space is considered on the concircular curvature tensor. Submanifolds of these manifolds with properties such as concircular pseudoparallel, concircular $2-$pseudoparallel ...
Tuğba MERT, Mehmet ATÇEKEN
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An η‐Ricci–Yamabe solitons is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology. The objective of the present research is to examine η‐Ricci–Yamabe solitons and Ricci–Yamabe solitons on covariant projectively flat and concircularly flat ...
B. B. Chaturvedi +3 more
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Some Curvature Properties of (LCS) n‐Manifolds
The object of the present paper is to study (LCS) n‐manifolds with vanishing quasi‐conformal curvature tensor. (LCS) n‐manifolds satisfying Ricci‐symmetric condition are also characterized.
Mehmet Atçeken, Narcisa C. Apreutesei
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On Concircular Curvature Tensor in Space-Times
The aim of this work is to examine some properties of the concircular curvature tensor on $4-$dimensional manifolds admitting a Lorentz metric (so called space-times). In the first two sections, the study is introduced and the interrelated concepts together with some notations are presented.
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On the conharmonic and concircular curvature tensors of almost C($\lambda $) Manifolds
The object of the present paper is to characterize certain curvature conditions on conharmonic and concircular curvature tensors on almost C($\lambda $) manifolds. In this paper we study conharmonically flat, $\xi $-conharmonically flat, concircularly flat and $\xi $-concircularly flat almost C($\lambda $) manifolds.
Ali Akbar, Avijit Sarkar
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We characterize multiply warped product manifolds with ϕ(Ric)‐vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕ(Ric)‐vector field. In terms of physical applications, the multiply generalized Robertson–Walker spacetime is considered.
Moctar Traore +3 more
wiley +1 more source
Da‐Homothetic Deformation of K‐Contact Manifolds
We study Da‐homothetic deformations of K‐contact manifolds. We prove that Da‐homothetically deformed K‐contact manifold is a generalized Sasakian space form if it is conharmonically flat. Further, we find expressions for scalar curvature of Da‐homothetically deformed K‐contact manifolds.
H. G. Nagaraja +3 more
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Properties of concircular curvature tensors on Riemann spaces
This paper studies conditions of pseudo-symmetric and semi-symmetric type on geodesic and subgeodesic related Riemann spaces. Properties of concircular transformations of metrics are characterized, using certain concircular-Riemann type flows. Also concircular-Riemann solitons are introduced, as natural extensions of Ricci solitons.
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