The Weighted Ambient Metric
We prove the existence and uniqueness of weighted ambient metrics and weighted Poincaré metrics for smooth metric measure spaces.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211818 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Weighted Ambient Metric. Jeffrey Case and Ayush Khaitan. SIGMA 18 (2022), 086, 21 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862626998362308608 |
|---|---|
| author | Case, Jeffrey Khaitan, Ayush |
| author_facet | Case, Jeffrey Khaitan, Ayush |
| citation_txt | The Weighted Ambient Metric. Jeffrey Case and Ayush Khaitan. SIGMA 18 (2022), 086, 21 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We prove the existence and uniqueness of weighted ambient metrics and weighted Poincaré metrics for smooth metric measure spaces.
|
| first_indexed | 2026-03-14T16:09:54Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211818 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T16:09:54Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Case, Jeffrey Khaitan, Ayush 2026-01-12T10:18:25Z 2022 The Weighted Ambient Metric. Jeffrey Case and Ayush Khaitan. SIGMA 18 (2022), 086, 21 pages 1815-0659 2020 Mathematics Subject Classification: 53A31; 53A55; 31C12 arXiv:2202.11153 https://nasplib.isofts.kiev.ua/handle/123456789/211818 https://doi.org/10.3842/SIGMA.2022.086 We prove the existence and uniqueness of weighted ambient metrics and weighted Poincaré metrics for smooth metric measure spaces. We thank the anonymous referees for their valuable comments. JSC was supported by the Simons Foundation (Grant #524601). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Weighted Ambient Metric Article published earlier |
| spellingShingle | The Weighted Ambient Metric Case, Jeffrey Khaitan, Ayush |
| title | The Weighted Ambient Metric |
| title_full | The Weighted Ambient Metric |
| title_fullStr | The Weighted Ambient Metric |
| title_full_unstemmed | The Weighted Ambient Metric |
| title_short | The Weighted Ambient Metric |
| title_sort | weighted ambient metric |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211818 |
| work_keys_str_mv | AT casejeffrey theweightedambientmetric AT khaitanayush theweightedambientmetric AT casejeffrey weightedambientmetric AT khaitanayush weightedambientmetric |