Results 31 to 40 of about 125 (89)

Curvature and Solitonic Structures of Para‐Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
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

Study of η‐Ricci–Yamabe Solitons and Ricci–Yamabe Solitonss in a Lorentzian Nearly Kähler Space‐Time Manifold

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
An η‐Ricci–Yamabe solitonss 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 solitonss and Ricci–Yamabe solitonss on covariant projectively flat and concircularly flat ...
B. B. Chaturvedi   +3 more
wiley   +1 more source

On Generalized ϕ‐Recurrent (ϵ, δ)‐Trans‐Sasakian Manifolds

open access: yesChinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014
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

Symmetry and pseudosymmetry properties with Ricci soliton of the Reissner-Nordström-de Sitter spacetime

open access: yesNuclear Physics B
The primary objective of the article is to investigate the symmetry and pseudosymmetry properties of the Reissner-Nordström-de Sitter (briefly, RNdS) spacetime. The secondary aim of the paper is to explore the notion of Ricci solitons in RNdS spacetimes.
Absos Ali Shaikh, Kamiruzzaman
doaj   +1 more source

Characterizing ϕ(Ric)‐Vector Fields and Quasi‐Einstein Manifolds on Multiply Warped Product Manifolds

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
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

Some Curvature Properties of (LCS) n‐Manifolds

open access: yesAbstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
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
wiley   +1 more source

Da‐Homothetic Deformation of K‐Contact Manifolds

open access: yesInternational Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013
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
wiley   +1 more source

Ricci Solitons with Concircular and Conformal Killing Potential Vector Fields in Complex Sasakian Manifolds

open access: yes, 2023
Ricci solitons with concircular and conformal killing potential vector fields in complexSasakian manifolds are investigated. In addition, it is shown that a Ricci soliton in complexSasakian manifolds satisfying the conditions ρ(U, X)R = 0 and ρ(V, X)R ...
Vanlı, Aysel
core  

The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure

open access: yesAdvances in Mathematical Physics, Volume 2024, Issue 1, 2024.
A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav   +4 more
wiley   +1 more source

Conformal vector fields on Finsler spaces

open access: yes, 2013
Here, it is shown that every vector field on a Finsler space which keeps geodesic circles invariant is conformal. A necessary and sufficient condition for a vector field to keep geodesic circles invariant, known as concircular vector fields, is obtained.
Bidabad, B., Joharinad, P.
core   +1 more source

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