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Type I ancient compact solutions of the Yamabe flow

Authors :
Daskalopoulos, Panagiota
del Pino, Manuel
King, John
Sesum, Natasa
Publication Year :
2015

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.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1509.08803
Document Type :
Working Paper