{"id":"https://openalex.org/W7204907118","doi":"https://doi.org/10.48550/arxiv.2608.29148","title":"Ambient and Poincar\u00e9 metrics for CR $3$-manifolds associated with the self-dual Einstein ACH metric","display_name":"Ambient and Poincar\u00e9 metrics for CR $3$-manifolds associated with the self-dual Einstein ACH metric","publication_year":2026,"publication_date":"2026-08-29","ids":{"openalex":"https://openalex.org/W7204907118","doi":"https://doi.org/10.48550/arxiv.2608.29148"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.29148","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29148","pdf_url":"https://arxiv.org/pdf/2608.29148","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.29148","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016718338","display_name":"Taiji Marugame","orcid":"https://orcid.org/0000-0002-3932-936X","observed_orcids":["https://orcid.org/0000-0002-3932-936X"]},"institutions":[{"id":"https://openalex.org/I20529979","display_name":"University of Electro-Communications","ror":"https://ror.org/02x73b849","country_code":"JP","type":"education","lineage":["https://openalex.org/I20529979"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Marugame, Taiji","raw_affiliation_strings":["Department of Mathematics , The University of Electro-Communications , 1-5-1 Chofu- gaoka , Chofu , Tokyo 182-8585 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , The University of Electro-Communications , 1-5-1 Chofu- gaoka , Chofu , Tokyo 182-8585 , Japan","institution_ids":["https://openalex.org/I20529979"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016718338"],"corresponding_institution_ids":["https://openalex.org/I20529979"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12351","display_name":"Geometry and complex manifolds","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cr-manifolds","display_name":"CR manifolds","score":0.8059999942779541},{"id":"https://openalex.org/keywords/ambient-metric","display_name":"ambient metric","score":0.8600000143051147},{"id":"https://openalex.org/keywords/poincare-metric","display_name":"Poincar\u00e9 metric","score":0.9459999799728394},{"id":"https://openalex.org/keywords/cr-geometry","display_name":"CR geometry","score":0.42100000381469727}],"concepts":[{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.7591999769210815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6736000180244446},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6402999758720398},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5372999906539917},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5130000114440918},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5116999745368958},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5078999996185303},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.49869999289512634},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.49630001187324524},{"id":"https://openalex.org/C191226916","wikidata":"https://www.wikidata.org/wiki/Q5384710","display_name":"Equivalence of metrics","level":4,"score":0.4259999990463257},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3668999969959259},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3538999855518341},{"id":"https://openalex.org/C12773090","wikidata":"https://www.wikidata.org/wiki/Q3888851","display_name":"Ambient space","level":2,"score":0.35280001163482666},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C154497576","wikidata":"https://www.wikidata.org/wiki/Q7247777","display_name":"Product metric","level":3,"score":0.33480000495910645},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.32350000739097595},{"id":"https://openalex.org/C41261874","wikidata":"https://www.wikidata.org/wiki/Q3855712","display_name":"Intrinsic metric","level":4,"score":0.3158999979496002},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28630000352859497},{"id":"https://openalex.org/C17327563","wikidata":"https://www.wikidata.org/wiki/Q1991405","display_name":"Nowhere dense set","level":3,"score":0.2603999972343445}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.29148","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29148","pdf_url":"https://arxiv.org/pdf/2608.29148","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.29148","doi":"https://doi.org/10.48550/arxiv.2608.29148","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.29148","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.29148","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29148","pdf_url":"https://arxiv.org/pdf/2608.29148","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7154453943","display_name":"\u5f37\u64ec\u51f8\u9818\u57df\u4e0a\u306eCheng-Yau\u8a08\u91cf\u3068\u5883\u754c\u4e0a\u306eCR\u5e7e\u4f55\u306e\u7814\u7a76","funder_award_id":"22K13922","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204907118.pdf","grobid_xml":"https://content.openalex.org/works/W7204907118.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2785663082","https://openalex.org/W7128728073","https://openalex.org/W2042635302","https://openalex.org/W4416331447","https://openalex.org/W3036273385","https://openalex.org/W1634599176","https://openalex.org/W4247236282","https://openalex.org/W2060392810","https://openalex.org/W1905237633","https://openalex.org/W1975702912"],"abstract_inverted_index":{"We":[0],"construct":[1,69],"new":[2],"ambient":[3,27,95],"and":[4,28,74,87],"Poincar\u00e9":[5,29],"metrics":[6,30,41,57],"for":[7],"the":[8,18,25,36,50,84,94,99],"Fefferman":[9],"conformal":[10],"manifold":[11],"over":[12],"$3$-dimensional":[13],"CR":[14,70,76,100],"manifolds,":[15],"starting":[16],"from":[17,32],"associated":[19],"self-dual":[20],"Einstein":[21,53],"ACH":[22],"metric.":[23],"Unlike":[24],"classical":[26],"arising":[31],"approximate":[33],"solutions":[34],"to":[35,45,60,68],"complex":[37],"Monge-Amp\u00e8re":[38],"equation,":[39],"these":[40,56],"satisfy":[42],"Einstein-Maxwell-type":[43],"equations":[44],"infinite":[46,61],"order":[47,62,81],"rather":[48],"than":[49],"Ricci-flat":[51],"or":[52],"equations.":[54],"Since":[55],"are":[58],"determined":[59],"without":[63],"ambiguity,":[64],"they":[65],"enable":[66],"us":[67],"invariant":[71],"differential":[72],"operators":[73,103],"local":[75],"invariants":[77],"involving":[78],"arbitrarily":[79],"high":[80],"derivatives":[82],"of":[83,98,104],"Tanaka-Webster":[85],"curvature":[86],"torsion.":[88],"As":[89],"an":[90],"application,":[91],"we":[92],"obtain":[93],"metric":[96],"construction":[97],"GJMS":[101],"(Gover-Graham)":[102],"all":[105],"orders":[106],"in":[107],"dimension":[108],"$3$.":[109]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-02T00:00:00"}
