Results 11 to 20 of about 2,617 (107)

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

open access: yesAdvances in Mathematical Physics
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-
Sunil Kumar Yadav   +3 more
doaj   +2 more sources

Almost Pure Metric Plastic Structures and Ricci Solitons on Four-Dimensional Pseudo-Riemannian Manifolds

open access: yesJournal of Function Spaces
This paper investigates four-dimensional almost pure metric plastic manifolds equipped with a specific class of tensor fields known as almost plastic structures.
Aydin Gezer, Sedanur Ucan, Cagri Karaman
doaj   +2 more sources

On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms

open access: yesUniversal Journal of Mathematics and Applications, 2023
In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have ...
Mehmet Atçeken, Tuğba Mert
doaj   +1 more source

Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms

open access: yesCommunications in Advanced Mathematical Sciences, 2023
In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according ...
Mehmet Atçeken, Tuğba Mert
doaj   +1 more source

Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry

open access: yesOpen Mathematics, 2022
We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin   +3 more
doaj   +1 more source

∗-Ricci Tensor on α-Cosymplectic Manifolds

open access: yesAdvances in Mathematical Physics, 2022
In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi   +3 more
doaj   +1 more source

Ricci almost solitons [PDF]

open access: yes, 2010
We introduce a natural extension of the concept of gradient Ricci soliton: the Ricci almost soliton. We provide existence and rigidity results, we deduce a-priori curvature estimates and isolation phenomena, and we investigate some topological properties.
Alberto   +4 more
core   +3 more sources

Ricci solitons in three-dimensional paracontact geometry [PDF]

open access: yes, 2014
We completely describe paracontact metric three-manifolds whose Reeb vector field satisfies the Ricci soliton equation. While contact Riemannian (or Lorentz\-ian) Ricci solitons are necessarily trivial, that is, $K$-contact and Einstein, the paracontact ...
Calvaruso, Giovanni, Perrone, Antonella
core   +1 more source

Homogeneous Ricci solitons in low dimensions [PDF]

open access: yes, 2013
In this article we classify expanding homogeneous Ricci solitons up to dimension 5, according to their presentation as homogeneous spaces. We obtain that they are all isometric to solvsolitons, and this in particular implies that the generalized ...
Arroyo, Romina M., Lafuente, Ramiro
core   +2 more sources

Almost Ricci soliton in $Q^{m^{\ast}}$ [PDF]

open access: yesAUT Journal of Mathematics and Computing
In this paper, we will focus our attention on the structure of $h$-almost Ricci solitons on complex hyperbolic quadric. We will prove non-existence a contact real hypersurface in the complex hyperbolic quadric $Q^{m^*}, m\geq 3$, admitting the gradient ...
Hamed Faraji, Shahroud Azami
doaj   +1 more source

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