Jin Takahashi — Neckpinchhttps://neckpinch.com/authors/jin-takahashi/New arXiv papers by Jin Takahashi, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT Infinite-time incompleteness of noncompact Yamabe flowhttps://neckpinch.com/papers/2111.03222/arxiv:2111.03222Fri, 05 Nov 2021 00:00:00 GMTJin Takahashi, Hikaru Yamamoto — 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.Yamabe flowSingularitiesBoundaries & non-compactLong-time existence & convergence