{"id":"https://openalex.org/W409507136","doi":"https://doi.org/10.4171/dms/1-2/38","title":"Quaternionic analysis on Riemann surfaces and differential geometry","display_name":"Quaternionic analysis on Riemann surfaces and differential geometry","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W409507136","doi":"https://doi.org/10.4171/dms/1-2/38","mag":"409507136"},"language":"en","primary_location":{"id":"doi:10.4171/dms/1-2/38","doi":"https://doi.org/10.4171/dms/1-2/38","is_oa":true,"landing_page_url":"http://dx.doi.org/10.4171/dms/1-2/38","pdf_url":"https://ems.press/content/book-chapter-files/27168","source":{"id":"https://openalex.org/S4306487135","display_name":"EMS Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4389425263","host_organization_name":"EMS Press","host_organization_lineage":["https://openalex.org/I4389425263"],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Congress of Mathematicians 1998","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4377892433","display_name":"Invited Lectures"},"type":"book-chapter","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://ems.press/content/book-chapter-files/27168","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004561335","display_name":"Franz J. Pedit","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Franz Pedit","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5029151317","display_name":"Ulrich Pinkall","orcid":"https://orcid.org/0000-0002-2087-6435","observed_orcids":["https://orcid.org/0000-0002-2087-6435"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ulrich Pinkall","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":16.4348,"has_fulltext":true,"cited_by_count":62,"citation_normalized_percentile":{"value":0.99139643,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"389","last_page":"400"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9848999977111816,"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"}},"topics":[{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9848999977111816,"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"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.0066999997943639755,"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/T12351","display_name":"Geometry and complex manifolds","score":0.002199999988079071,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quaternion-analysis","display_name":"quaternionic analysis","score":0.9940000176429749},{"id":"https://openalex.org/keywords/riemann-surfaces","display_name":"Riemann surfaces","score":0.9980000257492065},{"id":"https://openalex.org/keywords/differential-geometry-of-surfaces","display_name":"differential geometry of surfaces","score":0.8569999933242798},{"id":"https://openalex.org/keywords/quaternionic-algebra","display_name":"quaternionic algebra","score":0.5360000133514404},{"id":"https://openalex.org/keywords/complex-analysis","display_name":"complex analysis","score":0.6380000114440918},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"algebraic geometry","score":0.9850000143051147}],"concepts":[{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5962816476821899},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5494038462638855},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5097460150718689},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.49939560890197754},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.4706277847290039},{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.47050827741622925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3676697313785553},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27693700790405273},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4171/dms/1-2/38","doi":"https://doi.org/10.4171/dms/1-2/38","is_oa":true,"landing_page_url":"http://dx.doi.org/10.4171/dms/1-2/38","pdf_url":"https://ems.press/content/book-chapter-files/27168","source":{"id":"https://openalex.org/S4306487135","display_name":"EMS Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4389425263","host_organization_name":"EMS Press","host_organization_lineage":["https://openalex.org/I4389425263"],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Congress of Mathematicians 1998","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.42.8656","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.8656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.gang.umass.edu/preprint/documents/pedit07.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"doi:10.4171/dms/1-2/38","doi":"https://doi.org/10.4171/dms/1-2/38","is_oa":true,"landing_page_url":"http://dx.doi.org/10.4171/dms/1-2/38","pdf_url":"https://ems.press/content/book-chapter-files/27168","source":{"id":"https://openalex.org/S4306487135","display_name":"EMS Press eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4389425263","host_organization_name":"EMS Press","host_organization_lineage":["https://openalex.org/I4389425263"],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Congress of Mathematicians 1998","raw_type":"book-chapter"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W409507136.pdf","grobid_xml":"https://content.openalex.org/works/W409507136.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7098198437","https://openalex.org/W6903707395","https://openalex.org/W1484275443","https://openalex.org/W6990054922","https://openalex.org/W2962901317","https://openalex.org/W81513858","https://openalex.org/W2008220597","https://openalex.org/W2228162447","https://openalex.org/W7098030675","https://openalex.org/W6989934169"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,22],"new":[3],"approach":[4],"to":[5],"the":[6,26],"differential":[7],"geometry":[8,31],"of":[9,25,32],"surfaces":[10],"in":[11],"R":[12,15],"3":[13],"and":[14,29],"4":[16],"that":[17],"treats":[18],"this":[19],"theory":[20],"as":[21],"\"quaternionified\"":[23],"version":[24],"complex":[27],"analysis":[28],"algebraic":[30],"Riemann":[33],"surfaces.":[34]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}