@article{f03ce7bea70a4f84aa133e64615045e9,
title = "The Weighted Ambient Metric",
abstract = "We prove the existence and uniqueness of weighted ambient metrics and weighted Poincar{\'e} metrics for smooth metric measure spaces.",
author = "Jeffrey Case and Ayush Khaitan",
note = "Funding Information: We thank the anonymous referees for their valuable comments. Simons Foundation (Grant #524601). JSC was supported by the. Publisher Copyright: {\textcopyright} 2022, Institute of Mathematics. All rights reserved.",
year = "2022",
doi = "10.3842/SIGMA.2022.086",
language = "English (US)",
volume = "18",
journal = "Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)",
issn = "1815-0659",
publisher = "Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine",
}