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arXiv · 2410.11168

On conical asymptotically flat manifolds

Mingyang Li·Song Sun
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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.

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Mingyang Li, Song Sun. 2024-10-15. On conical asymptotically flat manifolds. https://arxiv.org/abs/2410.11168

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