Results 51 to 60 of about 2,635 (149)
On Multiply Warped Product Gradient Ricci Soliton
Zurnal matematiceskoj fiziki, analiza, geometrii, 2023 The authors study gradient Ricci solitons on a multiply warped product. They prove that in any complete multiply warped product gradient Ricci soliton the potential function depends only on the base manifold and the fibers are Einstein manifolds. The authors further prove existence criteria for multiply warped product gradient Ricci solitons under some
Dutta, Tamalika +3 more
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On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow
Journal of Inequalities and Applications, 2020 This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow.
Abimbola Abolarinwa +2 more
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Solitons Equipped with a Semi-Symmetric Metric Connection with Some Applications on Number Theory
Mathematics, 2023 A solution to an evolution equation that evolves along symmetries of the equation is called a self-similar solution or soliton. In this manuscript, we present a study of η-Ricci solitons (η-RS) for an interesting manifold called the (ε)-Kenmotsu manifold
Ali H. Hakami +3 more
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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The Soliton-Ricci Flow with variable volume forms
Complex Manifolds, 2016 We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
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Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan +2 more
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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
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Rigidity of asymptotically conical shrinking gradient Ricci solitons [PDF]
, 2013 We show that if two gradient Ricci solitons are asymptotic along some end of each to the same regular cone, then the soliton metrics must be isometric on some neighborhoods of infinity of these ends. Our theorem imposes no restrictions on the behavior of
Brett Kotschwar +2 more
core
Rotational symmetry of self-similar solutions to the Ricci flow
, 2013 Let (M,g) be a three-dimensional steady gradient Ricci soliton which is non-flat and \kappa-noncollapsed. We prove that (M,g) is isometric to the Bryant soliton up to scaling.
A. Ionescu +21 more
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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.
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