As on arXiv
Abstract
In this paper we have studied the class of Finsler metrics, called C3-like metrics which satisfy the un-normal and normal Ricci flow equation and proved that such metrics are Einstein.
- Submitted
- Jul 10, 2021
- Subjects
- math.DG
Its neighbourhood
Connected papers
The 5 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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Ricci flow on Finsler manifolds
Topics Ricci flow · Shared terms “Finsler”
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Bounds of Scalar curvature, S-curvature and distortion on -Einstein Finsler manifolds
Shared terms “Finsler”, “Einstein”
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Almost Ricci solitons on Finsler spaces
Shared terms “Finsler”, “Einstein”
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Li-Yau Estimates for a Nonlinear Parabolic Equation on Finsler Manifolds
Shared terms “Finsler”
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A novel finite element approximation of anisotropic curve shortening flow
Shared terms “Finsler metrics”
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
- 5A.5Uniformization and the Two-Dimensional Ricci Flow
Constant-curvature metrics on surfaces, and Ricci flow as a heat equation for the conformal factor.
- 10A.12Curve Shortening and Minimal Discs
How loops shrink under curvature, how the discs they bound lose area, and Perelman's extinction estimate.
- 11A.1The Equation and Its First Solutions
A heat equation for the metric: spheres, cylinders and scaling.