PreprintCC BY 4.0arXiv
Initial Data Gluing for Asymptotically Hyperbolic Spacetimes
Abstract
We give a new proof of Corvino-Schoen-type gluing, also known as gluing up to linear obstructions, for asymptotically hyperbolic spacetimes satisfying appropriate smallness conditions in arbitrary dimension. The results retrieve and improve on previous known smallness requirements on initial data to conduct such gluing, including the work of Chrusciél and Delay. Our technique is highly versatile and well-suited for gluing results in highly anisotropic geometric settings.
Related
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BibTeX
@misc{martinian2026initial,
title = {{Initial Data Gluing for Asymptotically Hyperbolic Spacetimes}},
author = {Aren Martinian},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33372},
eprint = {2610.33372},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33372},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Initial Data Gluing for Asymptotically Hyperbolic Spacetimes
AU - Aren Martinian
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.33372
UR - https://arxiv.org/abs/2610.33372
AB - We give a new proof of Corvino-Schoen-type gluing, also known as gluing up to linear obstructions, for asymptotically hyperbolic spacetimes satisfying appropriate smallness conditions in arbitrary dimension. The results retrieve and improve on previous known smallness requirements on initial data to conduct such gluing, including the work of Chrusciél and Delay. Our technique is highly versatile and well-suited for gluing results in highly anisotropic geometric settings.
ER -