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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 086, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.086 (Mi sigma1882) 		 
The Weighted Ambient Metric

Jeffrey Case, Ayush Khaitan

Department of Mathematics, Penn State University, PA, USA
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DOI: https://doi.org/10.3842/SIGMA.2022.086
Abstract: We prove the existence and uniqueness of weighted ambient metrics and weighted Poincaré metrics for smooth metric measure spaces.
Keywords: ambient metric, Poincaré metric, smooth metric measure space.
Funding agency Grant number
Simons Foundation 524601
JSC was supported by the Simons Foundation (Grant #524601).
Received: March 1, 2022; in final form October 25, 2022; Published online November 2, 2022
Bibliographic databases:
Document Type: Article
MSC: 53A31, 53A55, 31C12
Language: English
Citation: Jeffrey Case, Ayush Khaitan, “The Weighted Ambient Metric”, SIGMA, 18 (2022), 086, 21 pp.
Citation in format AMSBIB
\Bibitem{CasKha22}
\by Jeffrey~Case, Ayush~Khaitan
\paper The Weighted Ambient Metric
\jour SIGMA
\yr 2022
\vol 18
\papernumber 086
\totalpages 21
\mathnet{http://mi.mathnet.ru/sigma1882}
\crossref{https://doi.org/10.3842/SIGMA.2022.086}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4503722}
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