New type I ancient compact solutions of the Yamabe flow
We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t→−∞, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type I ancient solutions.
| Main Authors: | , , , |
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| Format: | Article |
| Published: |
International Press
2017
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| Online Access: | https://eprints.nottingham.ac.uk/50288/ |
| Summary: | We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t→−∞, 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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