Type I ancient compact solutions of the Yamabe flow
Differential Geometry
2015-09-30 v1
Abstract
We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as , to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type I ancient solutions.
Keywords
Cite
@article{arxiv.1509.08803,
title = {Type I ancient compact solutions of the Yamabe flow},
author = {Panagiota Daskalopoulos and Manuel del Pino and John King and Natasa Sesum},
journal= {arXiv preprint arXiv:1509.08803},
year = {2015}
}