New Counterexamples to Min-Oo's Conjecture via Tunnels
| Autor: | Sweeney Jr, Paul |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Min-Oo's Conjecture is a positive curvature version of the positive mass theorem. Brendle, Marques, and Neves produced a perturbative counterexample to this conjecture. In 2021, Carlotto asked if it is possible to develop a novel gluing method in the setting of Min-Oo's Conjecture and in doing so produce new counterexamples. Here we answer this question in the affirmative. These new counterexamples are non-perturbative in nature; moreover, we also produce examples with more complicated topology. Our main tool is a quantitative version of Gromov-Lawson Schoen-Yau surgery. Comment: 11 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|