Results 81 to 90 of about 387 (181)
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
Ricci solitons on almost Kenmotsu 3-manifolds
Open Mathematics, 2017 Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton whose potential vector field is orthogonal to the Reeb vector field ...
Wang Yaning
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 +2 more
wiley +1 more source
Uniqueness of gradient Ricci solitons [PDF]
Mathematical Research Letters, 2011 We show that a three-dimensional steady gradient Ricci soliton which is asymptotic to the Bryant soliton in a suitable sense must be isometric to the Bryant soliton.
openaire +2 more sources
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
Two-Dimensional Gradient Ricci Solitons Revisited [PDF]
International Mathematics Research Notices, 2013 In this note, we complete the classification of the geometry of non-compact two-dimensional gradient Ricci solitons. As a consequence, we obtain two corollaries: First, a complete two-dimensional gradient Ricci soliton has bounded curvature. Second, we give examples of complete two-dimensional expanding Ricci solitons with negative curvature that are ...
Bernstein, Jacob, Mettler, Thomas
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Conformal Ricci Soliton in Lorentzian $\alpha $-Sasakian Manifolds
, 2016 summary:In this paper we have studied conformal curvature tensor, conharmonic curvature tensor, projective curvature tensor in Lorentzian $\alpha $-Sasakian manifolds admitting conformal Ricci soliton. We have found that a Weyl conformally semi symmetric
BHATTACHARYYA, Arindam +2 more
core +1 more source
$$\eta$$-$$*$$-Ricci solitons and paracontact geometry
, 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
Riemann Solitons on Homogeneous Siklos Spacetimes
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate the properties of Riemann solitons on homogeneous Siklos spacetimes. Siklos spacetimes, which are special solutions to Einstein’s equations with a wave‐like potential, provide a suitable setting for studying the geometric properties of Riemann solitons.
Mehdi Jafari +3 more
wiley +1 more source
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.
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