New type I ancient compact solutions of the Yamabe flow

Abstract

We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as $t\to -\infty$, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type I ancient solutions.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1509.08803