Infinite-time incompleteness of noncompact Yamabe flow
Differential Geometry
2021-11-08 v1 Analysis of PDEs
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.
Cite
@article{arxiv.2111.03222,
title = {Infinite-time incompleteness of noncompact Yamabe flow},
author = {Jin Takahashi and Hikaru Yamamoto},
journal= {arXiv preprint arXiv:2111.03222},
year = {2021}
}
Comments
21 pages, 1 figure