Results 91 to 100 of about 802,509 (175)
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 +4 more
wiley +1 more source
On gradient Ricci soliton Riemannian submersions [PDF]
, 2019 Nesta tese nós mostramos como construir sólitons de Ricci gradientes que são realizados como submersões Riemannianas com espaço total tendo fibras totalmente umbı́licas e distribuição horizontal integrável.
Ribeiro, Adrian Vinícius Castro +1 more
core
η-Ricci Solitons and Gradient Ricci Solitons on f-Kenmotsu Manifolds
Mathematical Physics and Computer Simulation, 2021 The aim of the present research article is to study the f-kenmotsu manifolds admitting the η-Ricci Solitons and gradient Ricci solitons with respect to the semi-symmetric non metric connection.
openaire +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 +4 more
wiley +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 +3 more
wiley +1 more source
O(2)-symmetry of 3D steady gradient Ricci solitons [PDF]
, 2023 For any 3D steady gradient Ricci soliton with positive curvature, we prove that it must be isometric to the Bryant soliton if it is asymptotic to a ray. Otherwise, it is asymptotic to a sector and hence a flying wing. We show that all 3D flying wings are
Lai, Yi
core +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 +2 more
wiley +1 more source
Rigidity of Gradient Ricci Solitons [PDF]
, 2007 We define a gradient Ricci soliton to be rigid if it is a flat bundle N*GammaRk where N is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons.
Wylie, William, Petersen, Peter
core +1 more source
Estimates on the non-compact expanding gradient Ricci solitons
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 In this paper, we deal with the complete non-compact expanding gradient Ricci soliton (Mn,g) with positive Ricci curvature. On the condition that the Ricci curvature is positive and the scalar curvature approaches 0 towards infinity, we derive a useful ...
Gao Xiang, Xing Qiaofang, Cao Rongrong
doaj +1 more source
All two‐dimensional expanding Ricci solitons
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract The second author and H. Yin [Ars Inveniendi Analytica. DOI 10.15781/4x5c-9q97] have developed a Ricci flow existence theory that gives a complete Ricci flow starting with a surface equipped with a conformal structure and a non‐atomic Radon measure as a volume measure. This led to the discovery of a large array of new expanding Ricci solitons.
Luke T. Peachey, Peter M. Topping
wiley +1 more source