Mathematical Research Letters
Volume 24 (2017)
New type I ancient compact solutions of the Yamabe flow
Pages: 1667 – 1691
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.
Daskalopoulos thanks the NSF for support in DMS-1600658. Manuel del Pino thanks Grants Fondecyt 1150066 and Fondo Basal CMM for support. King thanks BIRS, Royal Society and Wolfson Foundation for support. Sesum thanks the NSF for support in DMS-1056387.
Received 20 January 2016
Accepted 2 May 2016
Published 29 January 2018