Paper · Apr 16, 2021
Commutator formulas for gradient Ricci shrinker and their application to linear stability
As on arXiv
Abstract
In this paper we have found some commutator formulas between on closed orientable metrics (Gradient Ricci Shrinker), then with them we have generalized a Theorem of Cao and Zhu about necessary condition for linear stability of a .
- Submitted
- Apr 16, 2021
- Subjects
- math.DG, math.AP
Its neighbourhood
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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
- 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.