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.
| Original language | English |
|---|---|
| Pages (from-to) | 188-210 |
| Number of pages | 23 |
| Journal | Journal of Mathematical Study |
| Volume | 58 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2025 |
Keywords
- Asympotitcally flat
- collapsing
- gravitational instanton
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