Infinite-time incompleteness of noncompact Yamabe flow
arXiv:2111.03222
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.
21 pages, 1 figure