On conical asymptotically flat manifolds
Differential Geometry
2024-10-16 v1 Mathematical Physics
math.MP
Abstract
We prove a conjecture of Petrunin and Tuschmann on the non-existence of asymptotically flat 4-manifolds asymptotic to the half plane. We also survey recent progress and questions concerning gravitational instantons, which serve as our motivation for studying this question.
Cite
@article{arxiv.2410.11168,
title = {On conical asymptotically flat manifolds},
author = {Mingyang Li and Song Sun},
journal= {arXiv preprint arXiv:2410.11168},
year = {2024}
}
Comments
Submitted to a special issue in honor of Professor Xiaochun Rong's 70th birthday