Results 81 to 90 of about 167,116 (196)

Conformally Flat Siklos Metrics Are Ricci Solitons

Axioms, 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

Geometric Characterizations of Riemann Solitons

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we find the geometric characterizations of Riemann solitons within the background of co‐Kähler manifolds admitting semisymmetric metric ζ‐connection. Let (g, V) be a Riemann soliton on a co‐Kähler manifold M admitting a semisymmetric metric ζ‐connection.
Abdul Haseeb, Meraj Ali Khan, D. G. Prakasha, T. Manjula, Murat Altunbaş   +4 more
wiley   +1 more source

Almost $$*$$-Ricci soliton on paraKenmotsu manifolds

Arabian Journal of Mathematics, 2019
We consider almost $$*$$ ∗ -Ricci solitons in the context of paracontact geometry, precisely, on a paraKenmotsu manifold. First, we prove that if the metric g of $$\eta $$ η -Einstein paraKenmotsu manifold is $$*$$ ∗ Ricci soliton, then M is ...
V. Venkatesha, H. Kumara, D. Naik
semanticscholar   +1 more source

Photoacoustics for Direct Light‐Guiding Inside Transparent and Scattering Media

Laser &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, Mateu Colom, Blanca Mestre‐Torà, Martí Duocastella   +3 more
wiley   +1 more source

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

Sahand 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

Almost Kenmotsu metric as a conformal Ricci soliton

Conformal Geometry and Dynamics of The American Mathematical Society, 2019
In the present paper, we characterize ( k , μ ) ′ (k,\mu )’ and generalized ( k , μ ) ′ (k,\mu ...
D. Dey, P. Majhi
semanticscholar   +1 more source

Realizations of some contact metric manifolds as Ricci soliton real hypersurfaces [PDF]

, 2017
Ricci soliton contact metric manifolds with certain nullity conditions have recently been studied by Ghosh and Sharma. Whereas the gradient case is well-understood, they provided a list of candidates for the nongradient case.
Jong Taek Cho, Takahiro Hashinaga, Akira Kubo, Y. Taketomi, H. Tamaru   +4 more
semanticscholar   +1 more source

Mabuchi Kähler solitons versus extremal Kähler metrics and beyond

Bulletin 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, Abdellah Lahdili, Yasufumi Nitta   +2 more
wiley   +1 more source

On the completeness of gradient Ricci solitons [PDF]

Proceedings of the American Mathematical Society, 2009
A gradient Ricci soliton is a triple ( M , g , f
openaire   +2 more sources

Ricci solitons: the equation point of view [PDF]

manuscripta mathematica, 2008
We discuss some classification results for Ricci solitons, that is, self similar solutions of the Ricci Flow. Some simple proofs of known results will be presented. In detail, we will take the equation point of view, trying to avoid the tools provided by considering the dynamic properties of the Ricci flow.
MANOLO EMINENTI, GABRIELE LA NAVE, MANTEGAZZA, Carlo Maria   +2 more
openaire   +5 more sources