As on arXiv
Abstract
In this paper, we characterize the Ricci soliton equations on the Poincaré upper half plane . First we classify all Ricci soliton and Ricci Bourguignon soliton in the half plane of Poincaré and after we generalize those equations in . We obtain some nice properties of the soliton about their geodesic flows.
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Connected papers
The 8 papers on this site closest to this one, judged by the topics they share, the words and phrases in their titles and abstracts, and their authors. They are not its citations, but a map of the work around it. Papers here go back to 2021, plus the canon.
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Geometric study of non-constant vector fields making hyperbolic space Ricci-Bourguignon solitons
Topics Almost & η-Ricci solitons · Same authors Abdou Bousso, Ameth Ndiaye · Shared terms “Bourguignon soliton”, “Ricci Bourguignon”, “characterize”
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Ricci-Yamabe solitons on the Lie group
Topics Almost & η-Ricci solitons, Ricci solitons · Same authors Abdou Bousso, Ameth Ndiaye · Shared terms “characterize”
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Ricci Solitons, Almost Theta-Yamabe Solitons, and Finite-Order Tensor Symmetries of a Vector Field on Riemannian Manifolds with Rank-One Anisotropic Curvature
Topics Almost & η-Ricci solitons, Ricci solitons · Same authors Abdou Bousso, Ameth Ndiaye
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Characterizations of Almost Ricci Bourguignon Solitons
Topics Almost & η-Ricci solitons, Ricci solitons · Shared terms “Bourguignon soliton”, “Ricci Bourguignon”
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Hyperbolic Ricci Solitons on the Unit Tangent Bundle of the Hyperbolic Strip
Topics Almost & η-Ricci solitons, Ricci solitons · Same author Ameth Ndiaye
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On some -dimensional almost -Ricci solitons with diagonal metrics
Topics Almost & η-Ricci solitons, Ricci solitons
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On conformal collineation and almost Ricci solitons
Topics Almost & η-Ricci solitons, Ricci solitons
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Ricci solitons and curvature inheritance on Robinson-Trautman spacetimes
Topics Almost & η-Ricci solitons, Ricci solitons
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Background reading
The guides for the topics of this paper: what each idea is, why it matters, and the papers to read first.
In the guidebook
- 11B.1Ricci Solitons
Self-similar solutions: the Gaussian, cylinders, the cigar and the Bryant soliton.
- 12B.2The Asymptotic Soliton and Three-Dimensional Shrinkers
Perelman's Proposition 11.2 proved with Morgan and Tian: the reduced-length bounds on κ-solutions, the limit of rescalings, the equality case, and the classification of shrinking solitons in dimensions two and three.