Results 31 to 40 of about 148 (141)

$\eta$-RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON $\delta$- LORENTZIAN TRANS-SASAKIAN MANIFOLDS [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics, 2021
The objective of the present research article is to study the $\delta$-Lorentzian trans-Sasakian manifolds conceding the $\eta$-Ricci solitons and gradient Ricci soliton. We shown that a symmetric second order covariant tensor in a $\delta$-Lorentzian trans-Sasakian manifold is a constant multiple of metric tensor.
Siddiqi, Mohd Danish, Akyol, Mehmet Akif
openaire   +2 more sources

Propagation of symmetries for Ricci shrinkers

open access: yesAdvanced Nonlinear Studies, 2023
We will show that if a gradient shrinking Ricci soliton has an approximate symmetry on one scale, this symmetry propagates to larger scales. This is an example of the shrinker principle which roughly states that information radiates outwards for ...
Colding Tobias Holck   +1 more
doaj   +1 more source

Compactness theorems for gradient Ricci solitons [PDF]

open access: yesJournal of Geometry and Physics, 2006
21pages
openaire   +3 more sources

Locally Conformally Flat Lorentzian Gradient Ricci Solitons [PDF]

open access: yesJournal of Geometric Analysis, 2011
It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function is non null, and to a plane wave, if the gradient of the potential function is null. The latter gradient Ricci solitons are necessarily steady.
Brozos-Vázquez, M.   +2 more
openaire   +2 more sources

Gradient almost Ricci solitons on multiply warped product manifolds

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, we investigate multiply warped product manifold \[M =B\times_{b_1} F_1\times_{b_2} F_2\times_{b_3} \ldots \times_{b_m} F_m\] as a gradient almost Ricci soliton.
S. Günsen, L. Onat
doaj   +1 more source

η-∗-Ricci Solitons and Almost co-Kähler Manifolds

open access: yesMathematics, 2021
The subject of the present paper is the investigation of a new type of solitons, called η-∗-Ricci solitons in (k,μ)-almost co-Kähler manifold (briefly, ackm), which generalizes the notion of the η-Ricci soliton introduced by Cho and Kimura.
Arpan Sardar   +2 more
doaj   +1 more source

On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow

open access: yesJournal of Inequalities and Applications, 2020
This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow.
Abimbola Abolarinwa   +2 more
doaj   +1 more source

About Uniqueness of Steady Ricci Schwarzschild Solitons

open access: yesAxioms
In this paper, the uniqueness of steady Schwarzschild gradient Ricci solitons is studied. The role of the weight functions is analyzed. The generalized steady Schwarzschild gradient Ricci solitons are investigated; the implications of the rotational ...
Orchidea Maria Lecian
doaj   +1 more source

On Multiply Warped Product Gradient Ricci Soliton

open access: yesZurnal matematiceskoj fiziki, analiza, geometrii, 2023
The authors study gradient Ricci solitons on a multiply warped product. They prove that in any complete multiply warped product gradient Ricci soliton the potential function depends only on the base manifold and the fibers are Einstein manifolds. The authors further prove existence criteria for multiply warped product gradient Ricci solitons under some
Dutta, Tamalika   +3 more
openaire   +1 more source

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