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arXiv · 1509.08803

Type I ancient compact solutions of the Yamabe flow

Panagiota Daskalopoulos·Manuel del Pino·John King·Natasa Sesum
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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.

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Panagiota Daskalopoulos, Manuel del Pino, John King, Natasa Sesum. 2015-09-29. Type I ancient compact solutions of the Yamabe flow. https://arxiv.org/abs/1509.08803

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