Uniqueness of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow

Abstract

In this paper we study the classification of compact $\kappa$-noncollapsed ancient solutions to the 3-dimensional Ricci flow which are rotationally and reflection symmetric. We prove that any such solution is isometric to the sphere or the type II ancient solution constructed by G. Perelman.

arXiv admin note: text overlap with arXiv:1804.07230

References in corpus (3)

• Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions
• Uniqueness of convex ancient solutions to mean curvature flow in ${\mathbb{R}}^3$
• Rotational symmetry of ancient solutions to the Ricci flow in dimension $3$ -- The compact case