{"id":"https://openalex.org/W7167282965","doi":"https://doi.org/10.48550/arxiv.2607.01264","title":"New constructions relating Real and Complex Contact Structure","display_name":"New constructions relating Real and Complex Contact Structure","publication_year":2026,"publication_date":"2026-06-25","ids":{"openalex":"https://openalex.org/W7167282965","doi":"https://doi.org/10.48550/arxiv.2607.01264"},"language":null,"primary_location":{"id":"pmh:oai:arXiv.org:2607.01264","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.01264","pdf_url":"https://arxiv.org/pdf/2607.01264","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2607.01264","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042607448","display_name":"Ali M. Elgindi","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210091706","display_name":"Henan Academy of Sciences","ror":"https://ror.org/00hy87220","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210091706"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Elgindi, Ali M.","raw_affiliation_strings":["Institute of Mathematics , Henan Academy of Sciences ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics , Henan Academy of Sciences ,","institution_ids":["https://openalex.org/I4210091706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042607448"],"corresponding_institution_ids":["https://openalex.org/I4210091706"],"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":0.6288999915122986,"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":0.6288999915122986,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.3391000032424927,"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":0.009100000374019146,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nijenhuis-tensor","display_name":"Nijenhuis tensor","score":0.9900000095367432},{"id":"https://openalex.org/keywords/dolbeault-cohomology","display_name":"Dolbeault cohomology","score":0.9990000128746033}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4846000075340271},{"id":"https://openalex.org/C74544821","wikidata":"https://www.wikidata.org/wiki/Q1783105","display_name":"Contact geometry","level":2,"score":0.44510000944137573},{"id":"https://openalex.org/C158843486","wikidata":"https://www.wikidata.org/wiki/Q2137810","display_name":"Complex geometry","level":2,"score":0.41339999437332153},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.39629998803138733},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36090001463890076},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33309999108314514},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.328000009059906},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3206000030040741},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29100000858306885},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.26820001006126404},{"id":"https://openalex.org/C2993805951","wikidata":"https://www.wikidata.org/wiki/Q1783105","display_name":"Contact system","level":2,"score":0.2639999985694885},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.25110000371932983}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2607.01264","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.01264","pdf_url":"https://arxiv.org/pdf/2607.01264","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2607.01264","doi":"https://doi.org/10.48550/arxiv.2607.01264","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.01264","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2607.01264","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.01264","pdf_url":"https://arxiv.org/pdf/2607.01264","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.7186034917831421}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7167282965.pdf","grobid_xml":"https://content.openalex.org/works/W7167282965.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,16],"establish":[1],"new":[2,19,32],"connections":[3],"between":[4],"real":[5,26,55],"and":[6,44],"complex":[7,59,71],"contact":[8,27,56,72],"geometry":[9],"via":[10],"embeddings":[11],"of":[12],"3-manifolds":[13],"into":[14],"$\\C^3$.":[15],"introduce":[17],"a":[18,31,50],"\\emph{contact":[20],"wedge}":[21],"construction":[22,52],"combining":[23],"two":[24],"transverse":[25],"structures":[28,57],"to":[29,37],"make":[30],"\\emph{complex":[33],"contact}":[34],"structure,":[35],"subject":[36],"obstructions":[38],"measured":[39],"by":[40],"the":[41],"Nijenhuis":[42],"tensor":[43],"Dolbeault":[45],"cohomology.":[46],"Dually,":[47],"we":[48,64],"form":[49],"\\emph{hedge}":[51],"which":[53],"extracts":[54],"from":[58],"ones.":[60],"Applying":[61],"these":[62],"tools,":[63],"prove":[65],"that":[66],"$\\C^3$":[67],"admits":[68],"uncountably":[69],"many":[70],"structures.":[73]},"counts_by_year":[],"updated_date":"2026-09-30T09:27:27.532063","created_date":"2026-07-04T00:00:00"}
