Autor: |
Gursky, Matthew J., McKeown, Stephen E., Tyrrell, Aaron J. |
Rok vydání: |
2024 |
Předmět: |
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Druh dokumentu: |
Working Paper |
Popis: |
We prove rigidity and gap theorems for self-dual and even Poincar\'e-Einstein metrics in dimension four. As a corollary, we give an obstruction to the existence of self-dual Poincar\'e-Einstein metrics in terms of conformal invariants of the boundary and the topology of the bulk. As a by-product of our proof we identify a new scalar conformal invariant of three-dimensional Riemannian manifolds. |
Databáze: |
arXiv |
Externí odkaz: |
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