{"id":"https://openalex.org/W4403543873","doi":"https://doi.org/10.3390/axioms13100724","title":"A Comprehensive Review of Golden Riemannian Manifolds","display_name":"A Comprehensive Review of Golden Riemannian Manifolds","publication_year":2024,"publication_date":"2024-10-18","ids":{"openalex":"https://openalex.org/W4403543873","doi":"https://doi.org/10.3390/axioms13100724"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13100724","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13100724","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"review","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms13100724","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037263664","display_name":"Bang\u2010Yen Chen","orcid":"https://orcid.org/0000-0002-1270-094X"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bang-Yen Chen","raw_affiliation_strings":["Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA","institution_ids":["https://openalex.org/I87216513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078348706","display_name":"Majid Ali Choudhary","orcid":null},"institutions":[{"id":"https://openalex.org/I3133391162","display_name":"Maulana Azad National Urdu University","ror":"https://ror.org/020an1644","country_code":"IN","type":"education","lineage":["https://openalex.org/I3133391162"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Majid Ali Choudhary","raw_affiliation_strings":["Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad 500032, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad 500032, India","institution_ids":["https://openalex.org/I3133391162"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107124525","display_name":"Afshan Perween","orcid":null},"institutions":[{"id":"https://openalex.org/I3133391162","display_name":"Maulana Azad National Urdu University","ror":"https://ror.org/020an1644","country_code":"IN","type":"education","lineage":["https://openalex.org/I3133391162"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Afshan Perween","raw_affiliation_strings":["Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad 500032, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad 500032, India","institution_ids":["https://openalex.org/I3133391162"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037263664"],"corresponding_institution_ids":["https://openalex.org/I87216513"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.9755,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.75911811,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"13","issue":"10","first_page":"724","last_page":"724"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9959999918937683,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9959999918937683,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5236765742301941},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.49996352195739746},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43796926736831665}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5236765742301941},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.49996352195739746},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43796926736831665}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13100724","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13100724","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5a37cc03ea894880846a010155992f19","is_oa":true,"landing_page_url":"https://doaj.org/article/5a37cc03ea894880846a010155992f19","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 10, p 724 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13100724","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13100724","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":92,"referenced_works":["https://openalex.org/W553345","https://openalex.org/W60775228","https://openalex.org/W652820532","https://openalex.org/W1487237407","https://openalex.org/W1582894873","https://openalex.org/W1598279643","https://openalex.org/W1914603212","https://openalex.org/W1948790422","https://openalex.org/W1972682939","https://openalex.org/W2000731562","https://openalex.org/W2031917130","https://openalex.org/W2043991833","https://openalex.org/W2060813667","https://openalex.org/W2062346296","https://openalex.org/W2081456747","https://openalex.org/W2104588218","https://openalex.org/W2113289571","https://openalex.org/W2117142497","https://openalex.org/W2163524995","https://openalex.org/W2185808637","https://openalex.org/W2254422355","https://openalex.org/W2324230112","https://openalex.org/W2430225980","https://openalex.org/W2570949444","https://openalex.org/W2604786857","https://openalex.org/W2608856281","https://openalex.org/W2754556404","https://openalex.org/W2786724828","https://openalex.org/W2798867461","https://openalex.org/W2805024600","https://openalex.org/W2913201118","https://openalex.org/W2921212637","https://openalex.org/W2938900672","https://openalex.org/W2963619330","https://openalex.org/W2970817205","https://openalex.org/W2993919945","https://openalex.org/W2995671066","https://openalex.org/W2998169603","https://openalex.org/W3002682501","https://openalex.org/W3005269452","https://openalex.org/W3008486618","https://openalex.org/W3033888640","https://openalex.org/W3037043400","https://openalex.org/W3042080372","https://openalex.org/W3046298617","https://openalex.org/W3086205951","https://openalex.org/W3098212516","https://openalex.org/W3102736304","https://openalex.org/W3118781694","https://openalex.org/W3120770872","https://openalex.org/W3123853959","https://openalex.org/W3142365622","https://openalex.org/W3167647521","https://openalex.org/W3173913919","https://openalex.org/W3198558738","https://openalex.org/W3203815669","https://openalex.org/W4226241150","https://openalex.org/W4231270026","https://openalex.org/W4242306682","https://openalex.org/W4280521262","https://openalex.org/W4280612731","https://openalex.org/W4283321636","https://openalex.org/W4283641499","https://openalex.org/W4285818141","https://openalex.org/W4306293666","https://openalex.org/W4317659179","https://openalex.org/W4322009315","https://openalex.org/W4362698985","https://openalex.org/W4366986085","https://openalex.org/W4379157632","https://openalex.org/W4380184469","https://openalex.org/W4381663948","https://openalex.org/W4387459004","https://openalex.org/W4389078178","https://openalex.org/W4392049731","https://openalex.org/W4393102567","https://openalex.org/W4394584590","https://openalex.org/W4401974705","https://openalex.org/W4402321942","https://openalex.org/W6600028554","https://openalex.org/W6640798466","https://openalex.org/W6677103597","https://openalex.org/W6677527473","https://openalex.org/W6677773112","https://openalex.org/W6686905603","https://openalex.org/W6758927459","https://openalex.org/W6766925525","https://openalex.org/W6788342831","https://openalex.org/W6839728466","https://openalex.org/W6839862504","https://openalex.org/W6870862577","https://openalex.org/W7023997185"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"In":[0],"differential":[1],"geometry,":[2],"the":[3,33,36,71],"concept":[4],"of":[5,17,35,54,63],"golden":[6,18,37,49,66],"structure":[7],"represents":[8],"a":[9,60],"compelling":[10],"area":[11],"with":[12,46],"wide-ranging":[13],"applications.":[14],"The":[15,52],"exploration":[16],"Riemannian":[19,50,67],"manifolds":[20,68],"was":[21],"initiated":[22],"by":[23],"C.":[24],"E.":[25],"Hretcanu":[26],"and":[27],"M.":[28],"Crasmareanu":[29],"in":[30],"2008,":[31],"following":[32],"principles":[34],"structure.":[38],"Subsequently,":[39],"numerous":[40],"researchers":[41],"have":[42],"contributed":[43],"significant":[44],"insights":[45],"respect":[47],"to":[48,58],"manifolds.":[51],"purpose":[53],"this":[55],"paper":[56],"is":[57],"provide":[59],"comprehensive":[61],"survey":[62],"research":[64],"on":[65],"conducted":[69],"over":[70],"past":[72],"decade.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
