As on arXiv
Abstract
For every , we construct a 3D steady gradient Ricci soliton whose asymptotic cone is a sector with angle , which is a called 3D flying wing.
Its neighbourhood
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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O(2)-symmetry of 3D steady gradient Ricci solitons
Topics 3-manifolds, Ricci solitons · Same author Yi Lai · Shared terms “flying wing”, “steady gradient”, “gradient Ricci”
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Higher-dimensional flying wing Steady Ricci Solitons
Topics Ricci solitons · Same author Yi Lai · Shared terms “flying wing”, “steady gradient”, “gradient Ricci”
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A family of Kähler flying wing steady Ricci solitons
Topics Ricci solitons · Same author Yi Lai · Shared terms “flying wing”, “steady gradient”
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Classification of ancient cylindrical mean curvature flows and the Mean Convex Neighborhood Conjecture
Same author Yi Lai · Shared terms “flying wing”
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3-Manifolds with positive scalar curvature and bounded geometry
Topics 3-manifolds · Same author Yi Lai
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Genus Increase in Closed Mean Curvature Flows
Topics 3-manifolds, Ricci solitons
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Lorentzian Algebraic Ricci Solitons on the Heisenberg Group
Topics 3-manifolds, Ricci solitons
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The PDE-ODI principle and cylindrical mean curvature flows
Topics Ricci solitons · Same author Yi Lai
Read around it
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
- 10A.1A Zoo of Three-Manifolds
The 3-sphere, lens spaces, the Poincaré sphere, the Hopf fibration and the shape of space.
- 10A.2Finite Rotation Groups and Spherical Space Forms
Klein's classification by counting poles, the binary groups, and every quotient of the round 3-sphere.
- 10A.4Homotopy Groups, Degree and the Hurewicz Theorem
Spheres mapped into manifolds: the algebraic topology that finite extinction runs on.