Results 101 to 110 of about 875 (199)
Degeneration of Shrinking Ricci Solitons [PDF]
International Mathematics Research Notices, 2010 Let $(Y,d)$ be a Gromov-Hausdorff limit of closed shrinking Ricci solitons with uniformly upper bounded diameter and lower bounded volume. We prove that off a closed subset of codimension at least 2, $Y$ is a smooth manifold satisfying a shrinking Ricci soliton equation.
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On the blow-up of four-dimensional Ricci flow singularities [PDF]
, 2013 textIn 2002, Feldman, Ilmanen, and Knopf constructed the first example of a non-trivial (i.e. non-constant curvature) complete non-compact shrinking soliton, and conjectured that it models a Ricci flow singularity forming on a closed four-manifold.
Máximo Alexandrino Nogueira, Davi
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Some results of η-Ricci solitons on (LCS)n-manifolds [PDF]
Surveys in Mathematics and its Applications, 2018 In this paper, we consider an η -Ricci soliton on the (LCS)n-manifolds (M, φ , ξ , η , g) satisfying certain curvature conditions likes: R(ξ , X) · S= 0 and W 2(ξ, X) · S=0.
S. K. Yadav, S. K. Chaubey, D. L. Suthar
doaj
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
On the completeness of gradient Ricci solitons [PDF]
Proceedings of the American Mathematical Society, 2009 A gradient Ricci soliton is a triple ( M , g , f
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RICCI ALMOST SOLITONS ON RIEMANNIAN MANIFOLDS [PDF]
, 2019 [[abstract]]The present paper deals with the study of Riemannian mani-folds whose metric is Ricci almost soliton with a conformal Killing vector field.
Akshoy Patra, Shyamal Kumar Hui
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∗-Ricci Soliton within the frame-work of Sasakian and (κ,μ)-contact manifold [PDF]
, 2018 We prove that if a Sasakian metric is a ∗-Ricci Soliton, then it is either positive Sasakian, or null-Sasakian. Next, we prove that if a complete Sasakian metric is an almost gradient ∗-Ricci Soliton, then it is positive-Sasakian and isometric to a unit
Amalendu Ghosh, Dhriti Sundar Patra
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The canonical shrinking soliton associated to a Ricci flow [PDF]
, 2011 To every Ricci flow on a manifold over a time interval , we associate a shrinking Ricci soliton on the space-time . We relate properties of the original Ricci flow to properties of the new higher-dimensional Ricci flow equipped with its own time ...
Cabezas-Rivas, Esther, Topping, Peter M.
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Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi‐Type
Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper is devoted to Ricci solitons admitting a Jacobi‐type vector field. First, we present some rigidity results for Ricci solitons (Mn, g, V, λ) admitting a Jacobi‐type vector field ξ and provide conditions under which ξ is Killing. We also present conditions under which the Ricci soliton (Mn, g, ξ, λ) is isometric to Rn.
Vahid Pirhadi +3 more
wiley +1 more source
Analysis of Ricci flow on noncompact manifolds [PDF]
, 2013 textIn this dissertation, we present some analysis of Ricci flow on complete noncompact manifolds. The first half of the dissertation concerns the formation of Type-II singularity in Ricci flow on [mathematical equation]. For each [mathematical equation]
Wu, Haotian, active 2013
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