{"id":"https://openalex.org/W1490265136","doi":"https://doi.org/10.1155/2014/154294","title":"Some Surfaces with Zero Curvature in \u210d2\u00d7\u211d","display_name":"Some Surfaces with Zero Curvature in \u210d2\u00d7\u211d","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1490265136","doi":"https://doi.org/10.1155/2014/154294","mag":"1490265136"},"language":"lv","primary_location":{"id":"doi:10.1155/2014/154294","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/154294","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/154294.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/154294.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080394136","display_name":"Dae Won Yoon","orcid":"https://orcid.org/0000-0001-8620-0676"},"institutions":[{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Dae Won Yoon","raw_affiliation_strings":["Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea"],"raw_orcid":"https://orcid.org/0000-0001-8620-0676","affiliations":[{"raw_affiliation_string":"Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 660-701, Republic of Korea","institution_ids":["https://openalex.org/I189442560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080394136"],"corresponding_institution_ids":["https://openalex.org/I189442560"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02329415,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9995999932289124,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9995999932289124,"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":0.9979000091552734,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9965000152587891,"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/algorithm","display_name":"Algorithm","score":0.44447365403175354},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3476564884185791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20156601071357727}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44447365403175354},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3476564884185791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20156601071357727}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2014/154294","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/154294","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/154294.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305630","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305630","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:c51be79149f74d439ae7421c9de0568e","is_oa":true,"landing_page_url":"https://doaj.org/article/c51be79149f74d439ae7421c9de0568e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/154294","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/154294","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/154294.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1023901822","display_name":null,"funder_award_id":"2012R1A1A2003994","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G5855025858","display_name":null,"funder_award_id":"2012R1A1A2003994","funder_id":"https://openalex.org/F4320322349","funder_display_name":"Ministry of Education, Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320322349","display_name":"Ministry of Education, Science and Technology","ror":"https://ror.org/01p262204"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1490265136.pdf","grobid_xml":"https://content.openalex.org/works/W1490265136.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W90519557","https://openalex.org/W1970648949","https://openalex.org/W1994368865","https://openalex.org/W2024389767","https://openalex.org/W2031178734","https://openalex.org/W2037972078","https://openalex.org/W2073411244","https://openalex.org/W2100967220","https://openalex.org/W2568145020","https://openalex.org/W3104731406"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2016187641","https://openalex.org/W2805339068","https://openalex.org/W4246450666","https://openalex.org/W4388998267","https://openalex.org/W2051487156","https://openalex.org/W2898370298","https://openalex.org/W2137437058","https://openalex.org/W4390401159","https://openalex.org/W4404633919"],"abstract_inverted_index":{"We":[0],"study":[1],"surfaces":[2,24],"defined":[3],"as":[4],"graph":[5],"of":[6],"the":[7,11],"function":[8],"z=f(x,y)":[9],"in":[10],"product":[12],"space":[13],"\u210d2\u00d7\u211d":[14],".":[15],"In":[16],"particular,":[17],"we":[18],"completely":[19],"classify":[20],"flat":[21],"or":[22],"minimal":[23],"given":[25],"by":[26],"f(x,y)=u(x)+v(y)":[27],",":[28],"where":[29],"u(x)":[30],"and":[31],"v(y)":[32],"are":[33],"smooth":[34],"functions.":[35]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2016-06-24T00:00:00"}