Results 81 to 90 of about 875 (199)

$$\eta$$-$$*$$-Ricci solitons and paracontact geometry [PDF]

open access: yes, 2023
In this paper, we classify ?-*-Ricci solitons in paracontact geometry. In particular, we characterize (2n + 1)-dimensional para-Kenmotsu manifolds having an ?-*-Ricci soliton and 3-dimensional para-Kenmotsu manifolds admitting a gradient ?-*-Ricci ...
Uday Chand De   +5 more
core   +1 more source

Conformally Flat Siklos Metrics Are Ricci Solitons

open access: yesAxioms, 2020
We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
Giovanni Calvaruso
doaj   +1 more source

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

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
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
wiley   +1 more source

On Moduli Spaces of Ricci Solitons [PDF]

open access: yesThe Journal of Geometric Analysis, 2013
18 ...
PODESTA', FABIO, Andrea Spiro
openaire   +2 more sources

On gradient Ricci solitons with symmetry [PDF]

open access: yesProceedings of the American Mathematical Society, 2009
We study gradient Ricci solitons with maximal symmetry. First we show that there are no nontrivial homogeneous gradient Ricci solitons. Thus, the most symmetry one can expect is an isometric cohomogeneity one group action. Many examples of cohomogeneity one gradient solitons have been constructed.
Petersen, Peter, Wylie, William
openaire   +2 more sources

About rigidity of gradient almost Ricci Soliton [PDF]

open access: yes, 2017
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESThis work is based on [1] and aims to show a result of rigidity for gradient almost Ricci soliton. We will prove that an almost Ricci soliton gradient with nonnegative scalar curvature,
Gomes, Maria Francisca de Sousa
core  

A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton   without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we
Sakineh Hajiaghasi, Shahroud Azami
doaj   +1 more source

Photoacoustics for Direct Light‐Guiding Inside Transparent and Scattering Media

open access: yesLaser &Photonics Reviews, Volume 19, Issue 8, April 17, 2025.
A novel method for guiding light in transparent and scattering media without external components is presented. A pulsed laser and absorptive material generate photoacoustic pressure waves within the medium, creating refractive index gradients for sub‐microsecond light guiding.
Pietro Ricci   +3 more
wiley   +1 more source

Mabuchi Kähler solitons versus extremal Kähler metrics and beyond

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 3, Page 692-710, March 2025.
Abstract Using the Yau–Tian–Donaldson type correspondence for v$v$‐solitons established by Han–Li, we show that a smooth complex n$n$‐dimensional Fano variety admits a Mabuchi soliton provided it admits an extremal Kähler metric whose scalar curvature is strictly less than 2(n+1)$2(n+1)$.
Vestislav Apostolov   +2 more
wiley   +1 more source

Topology of Kähler Ricci solitons

open access: yesJournal of Differential Geometry, 2015
We prove that any shrinking Kahler Ricci soliton has only one end, and that any expanding Kahler Ricci soliton with proper potential has only one end.
Munteanu, Ovidiu, Wang, Jiaping
openaire   +3 more sources

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