A Bogovskiǐ-type operator for Corvino-Schoen hyperbolic gluing
- Author(s)
- Piotr T. Chruściel, Albachiara Cogo, Andrea Nützi
- 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.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Eberhard Karls Universität Tübingen, Stanford University
- Journal
- Classical and Quantum Gravity
- Volume
- 42
- No. of pages
- 12
- ISSN
- 0264-9381
- DOI
- https://doi.org/10.48550/arXiv.2409.07502
- Publication date
- 07-2025
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 101006 Differential geometry
- Keywords
- ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/6d04b99f-c5d3-4af3-b55f-2d29354a18d5