Proves that rotationally and reflection symmetric compact noncollapsed ancient 3D Ricci flow solutions are either spheres or have unique asymptotics as t to -∞ with explicit description.
On the rotational symmetry of 3-dimensional $\kappa$-solutions
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abstract
In a recent paper, Brendle showed the uniqueness of the Bryant soliton among 3-dimensional $\kappa$-solutions. In this paper, we present an alternative proof for this fact and show that compact $\kappa$-solutions are rotational symmetric. Our proof arose from independent work relating to our Strong Stability Theorem for singular Ricci flows.
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math.DG 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Unique asymptotics of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow
Proves that rotationally and reflection symmetric compact noncollapsed ancient 3D Ricci flow solutions are either spheres or have unique asymptotics as t to -∞ with explicit description.