Results 41 to 50 of about 274 (160)
Certain results for η-Ricci Solitons and Yamabe Solitons on quasi-Sasakian 3-Manifolds
Cubo, 2019 We classify quasi-Sasakian 3-manifold with proper η-Ricci soliton and investigate its geometrical properties. Certain results of Yamabe soliton on such manifold are also presented.
Sunil Kumar Yadav +2 more
doaj +1 more source
Homogeneous Ricci solitons [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2013 Abstract In this work, we study metrics which are both homogeneous and Ricci soliton. If there exists a transitive solvable group of isometries on a Ricci soliton, we show that it is isometric to a solvsoliton. Moreover, unless the manifold is flat, it is necessarily simply-connected and diffeomorphic to ℝ n
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney +3 more
wiley +1 more source
Geometric Classifications of Perfect Fluid Space-Time Admit Conformal Ricci-Bourguignon Solitons
Journal of MathematicsThis paper is dedicated to the study of the geometric composition of a perfect fluid space-time with a conformal Ricci-Bourguignon soliton, which is the extended version of the soliton to the Ricci-Bourguignon flow.
Noura Alhouiti +5 more
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Ricci soliton solvmanifolds [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2011 18 pages, to appear in Crelle's ...
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan +3 more
wiley +1 more source
Journal of Mathematical StudyIn this survey paper, we discuss various examples of Ricci solitons and their constructions. Some open questions related to the rigidity and classification of Ricci solitons will be also discussed through those examples.
Zhao, Ziyi, Zhu, Xiaohua
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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
Topology of Kähler Ricci solitons
Journal 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
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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