Abstract
We construct a solution operator for the linearized constant scalar curvature equation at hyperbolic space in dimension larger than or equal to two. The solution operator has good support propagation properties and gains two derivatives relative to standard norms. It can be used for Corvino-Schoen-type hyperbolic gluing, partly extending the recently introduced Mao-Oh-Tao gluing method to the hyperbolic setting.
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 147001 |
| Seitenumfang | 12 |
| Fachzeitschrift | Classical and Quantum Gravity |
| Jahrgang | 42 |
| Ausgabenummer | 14 |
| DOIs | |
| Publikationsstatus | Veröffentlicht - 18 Juli 2025 |
Fördermittel
Many useful discussions with Bobby Beig and Erwann Delay are acknowledged. We are thankful to the Erwinn Schr\u00F6dinger Institute in Vienna for hospitality during an initial stage of this work. AC was supported by the DAAD \u2018Forschungsstipendien f\u00FCr Doktorandinnen und Doktoranden\u2019 during her research stay in Vienna. AN is supported by the Swiss National Science Foundation, Project Number P500PT-214470. PTC\u2019s research was supported in part by the NSF under Grant No. DMS-1928930 while the author was in residence at the Simons Laufer Mathematical Sciences Institute (formerly MSRI) in Berkeley during the Fall 2024 semester.
ÖFOS 2012
- 103028 Relativitätstheorie
- 101006 Differentialgeometrie