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arXiv · 2111.03222

Infinite-time incompleteness of noncompact Yamabe flow

Jin Takahashi·Hikaru Yamamoto
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Abstract

We show the noninheritance of the completeness of the noncompact Yamabe flow. Our main theorem states the existence of a long time solution which is complete for each time and converges to an incomplete Riemannian metric. This shows the occurrence of the infinite-time incompleteness.

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Jin Takahashi, Hikaru Yamamoto. 2021-11-05. Infinite-time incompleteness of noncompact Yamabe flow. https://arxiv.org/abs/2111.03222

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