{"id":"https://openalex.org/W4403779709","doi":"https://doi.org/10.35629/0743-10100125","title":"A Survey on Schwarz Lemma and Kobayashi Metrics for Harmonic and Holomorphic Functions","display_name":"A Survey on Schwarz Lemma and Kobayashi Metrics for Harmonic and Holomorphic Functions","publication_year":2024,"publication_date":"2024-10-01","ids":{"openalex":"https://openalex.org/W4403779709","doi":"https://doi.org/10.35629/0743-10100125"},"language":"en","primary_location":{"id":"doi:10.35629/0743-10100125","doi":"https://doi.org/10.35629/0743-10100125","is_oa":true,"landing_page_url":"https://doi.org/10.35629/0743-10100125","pdf_url":"https://doi.org/10.35629/0743-10100125","source":{"id":"https://openalex.org/S4404663977","display_name":"Journal of research in applied mathematics.","issn_l":"2394-0735","issn":["2394-0735","2394-0743"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Research in Applied Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://doi.org/10.35629/0743-10100125","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114412176","display_name":"Saif Eldeen Babiker","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I9353105","display_name":"Sudan University of Science and Technology","ror":"https://ror.org/02fwtg066","country_code":"SD","type":"education","lineage":["https://openalex.org/I9353105"]}],"countries":["SD"],"is_corresponding":false,"raw_author_name":"Saif Eldeen Babiker","raw_affiliation_strings":["( ) Sudan University of Science and Technology , Sudan. ("],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"( ) Sudan University of Science and Technology , Sudan. (","institution_ids":["https://openalex.org/I9353105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112889009","display_name":"Shawgy Hussein","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I9353105","display_name":"Sudan University of Science and Technology","ror":"https://ror.org/02fwtg066","country_code":"SD","type":"education","lineage":["https://openalex.org/I9353105"]}],"countries":["SD"],"is_corresponding":false,"raw_author_name":"Shawgy Hussein","raw_affiliation_strings":[") Sudan University of Science and Technology , College of Science , Department of Mathematics , Sudan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":") Sudan University of Science and Technology , College of Science , Department of Mathematics , Sudan","institution_ids":["https://openalex.org/I9353105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I9353105"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.27482584,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"10","first_page":"01","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.8407999873161316,"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/T11822","display_name":"Analytic and geometric function theory","score":0.8407999873161316,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.13619999587535858,"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/T12351","display_name":"Geometry and complex manifolds","score":0.003800000064074993,"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/schwarz-lemma","display_name":"Schwarz lemma","score":1.0},{"id":"https://openalex.org/keywords/kobayashi-metric","display_name":"Kobayashi metric","score":0.9819999933242798},{"id":"https://openalex.org/keywords/harmonic-functions","display_name":"harmonic functions","score":0.7749999761581421},{"id":"https://openalex.org/keywords/analytic-functions","display_name":"analytic functions","score":0.996999979019165},{"id":"https://openalex.org/keywords/several-complex-variables","display_name":"several complex variables","score":0.9470000267028809}],"concepts":[{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.8191889524459839},{"id":"https://openalex.org/C31278502","wikidata":"https://www.wikidata.org/wiki/Q7433186","display_name":"Schwarz alternating method","level":4,"score":0.7124248743057251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6256635189056396},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6240404844284058},{"id":"https://openalex.org/C174819683","wikidata":"https://www.wikidata.org/wiki/Q4681340","display_name":"Additive Schwarz method","level":4,"score":0.5404707789421082},{"id":"https://openalex.org/C627467","wikidata":"https://www.wikidata.org/wiki/Q599027","display_name":"Harmonic function","level":2,"score":0.5121505260467529},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43688973784446716},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4350994825363159},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11925289034843445},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.11103326082229614},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10371476411819458},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.07741919159889221},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C198880260","wikidata":"https://www.wikidata.org/wiki/Q5289813","display_name":"Domain decomposition methods","level":3,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.35629/0743-10100125","doi":"https://doi.org/10.35629/0743-10100125","is_oa":true,"landing_page_url":"https://doi.org/10.35629/0743-10100125","pdf_url":"https://doi.org/10.35629/0743-10100125","source":{"id":"https://openalex.org/S4404663977","display_name":"Journal of research in applied mathematics.","issn_l":"2394-0735","issn":["2394-0735","2394-0743"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Research in Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.35629/0743-10100125","doi":"https://doi.org/10.35629/0743-10100125","is_oa":true,"landing_page_url":"https://doi.org/10.35629/0743-10100125","pdf_url":"https://doi.org/10.35629/0743-10100125","source":{"id":"https://openalex.org/S4404663977","display_name":"Journal of research in applied mathematics.","issn_l":"2394-0735","issn":["2394-0735","2394-0743"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Research in Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403779709.pdf","grobid_xml":"https://content.openalex.org/works/W4403779709.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2902154408","https://openalex.org/W2159100661","https://openalex.org/W2000290814","https://openalex.org/W2028890215","https://openalex.org/W2339825459","https://openalex.org/W2138840323","https://openalex.org/W1994696552","https://openalex.org/W1987152170","https://openalex.org/W1552383923","https://openalex.org/W2951486225"],"abstract_inverted_index":{"M.":[0],"Mateljevi\u0107":[1],"[34]":[2],"mainly":[3],"consider":[4],"various":[5],"version":[6],"of":[7,50],"Schwarz":[8],"lemma":[9],"and":[10,16],"its":[11],"relatives":[12],"related":[13],"to":[14,43],"harmonic":[15],"holomorphic":[17],"functions":[18],"including":[19],"several":[20],"variables.":[21],"His":[22],"methods":[23,49],"(results)":[24],"unify":[25],"very":[26],"recent":[27],"approaches.":[28],"This":[29],"considerations":[30],"include":[31],"domains":[32],"on":[33,47],"which":[34],"he":[35],"can":[36],"compute":[37],"Kobayashi-Finsler":[38],"norm.":[39],"We":[40],"intend":[41],"do":[42],"a":[44],"light":[45],"application":[46],"the":[48],"[34].":[51]},"counts_by_year":[],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2025-10-10T00:00:00"}