Type I ancient compact solutions of the Yamabe flow

29 Sep 2015 · Daskalopoulos Panagiota, del Pino Manuel, King John, Sesum Natasa ·

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.