Results 81 to 90 of about 301,190 (180)

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

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

A Study of Hyperbolic Yamabe Solitons on Nonreductive Four‐Dimensional Homogeneous Manifolds

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The study of geometric structures on homogeneous pseudo‐Riemannian spaces (G/H, g) has long been an important area of research in differential geometry. Such spaces are characterized by the transitive action of a Lie group G, with the metric g being G‐invariant using mathematical operators.
Foued Aloui, Majid Ali Choudhary, Maged Z. Youssef, Mohammad Nazrul Islam Khan, Smritijit Sen   +4 more
wiley   +1 more source

∗−Conformal η−Ricci Solitons on α−Cosymplectic Manifolds

International Journal of Analysis and Applications, 2021
The object of this paper is to study ∗−conformal η−Ricci solitons on α−cosymplectic manifolds. First, α−cosymplectic manifolds admitting ∗−conformal η−Ricci solitons satisfying the conditions R(ξ, .) · S and S(ξ, .) · R = 0 are being studied.
Abdul Haseeb, D. G. Prakasha, H. Harish
doaj  

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 Study on Contact Metric Manifolds Admitting a Type of Solitons

Journal of Mathematics
The principal aim of the present article is to characterize certain properties of η-Ricci–Bourguignon solitons on three types of contact manifolds, that are K-contact manifolds, κ,μ-contact metric manifolds, and Nκ-contact metric manifolds.
Tarak Mandal, Uday Chand De, Meraj Ali Khan, Mohammad Nazrul Islam Khan   +3 more
doaj   +1 more source

Conformal Ricci soliton in Sasakian manifolds admitting general connection [PDF]

Journal of Hyperstructures
The object of the present paper is to study the Conformal Ricci soliton in Sasakian manifold admitting general connection, which is induced with quarter symmetric metric connection, generalized Tanaka Webster connection, Schouten-Van Kampen connection ...
Raghujyoti Kundu, Ashoke Das, Ashis Biswas   +2 more
doaj   +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