{"id":"https://openalex.org/W4402139258","doi":"https://doi.org/10.4208/cmr.2024-0030","title":"The General Dabrowski-Sitarz-Zalecki Type Theorem for Odd Dimensional Manifolds with Boundary II","display_name":"The General Dabrowski-Sitarz-Zalecki Type Theorem for Odd Dimensional Manifolds with Boundary II","publication_year":2024,"publication_date":"2024-09-02","ids":{"openalex":"https://openalex.org/W4402139258","doi":"https://doi.org/10.4208/cmr.2024-0030"},"language":"en","primary_location":{"id":"doi:10.4208/cmr.2024-0030","doi":"https://doi.org/10.4208/cmr.2024-0030","is_oa":true,"landing_page_url":"https://doi.org/10.4208/cmr.2024-0030","pdf_url":null,"source":{"id":"https://openalex.org/S4210193857","display_name":"Communications in Mathematical Research","issn_l":"1674-5647","issn":["1674-5647","2707-8523"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"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":"Communications in Mathematical Research","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.4208/cmr.2024-0030","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100442407","display_name":"Hongliang Li","orcid":"https://orcid.org/0000-0001-9051-6489","observed_orcids":["https://orcid.org/0000-0001-9051-6489"]},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongfeng Li","raw_affiliation_strings":["School of Mathematics and Statistics, Northeast Normal University, Changchun, China","School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Northeast Normal University, Changchun, China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P.R. China","institution_ids":["https://openalex.org/I184983240"]}]},{"author_position":"last","author":{"id":null,"display_name":"Yong Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I184983240","display_name":"Northeast Normal University","ror":"https://ror.org/02rkvz144","country_code":"CN","type":"education","lineage":["https://openalex.org/I184983240"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Wang","raw_affiliation_strings":["School of Mathematics and Statistics, Northeast Normal University, Changchun, China","School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Northeast Normal University, Changchun, China","institution_ids":["https://openalex.org/I184983240"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P.R. China","institution_ids":["https://openalex.org/I184983240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I184983240"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19120076,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":"3","first_page":"343","last_page":"382"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.7134000062942505,"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":0.7134000062942505,"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":0.16060000658035278,"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"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.06599999964237213,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/dirac-operator","display_name":"Dirac operator","score":0.9729999899864197},{"id":"https://openalex.org/keywords/einstein-metrics","display_name":"Einstein metrics","score":0.5090000033378601},{"id":"https://openalex.org/keywords/conformal-geometry","display_name":"conformal geometry","score":0.41499999165534973}],"concepts":[{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6833415031433105},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6190179586410522},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4100167155265808},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4091106057167053},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19666659832000732},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.10137280821800232},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.4208/cmr.2024-0030","doi":"https://doi.org/10.4208/cmr.2024-0030","is_oa":true,"landing_page_url":"https://doi.org/10.4208/cmr.2024-0030","pdf_url":null,"source":{"id":"https://openalex.org/S4210193857","display_name":"Communications in Mathematical Research","issn_l":"1674-5647","issn":["1674-5647","2707-8523"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"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":"Communications in Mathematical Research","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2312.00154","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2312.00154","pdf_url":"https://arxiv.org/pdf/2312.00154","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2312.00154","doi":"https://doi.org/10.48550/arxiv.2312.00154","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2312.00154","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.4208/cmr.2024-0030","doi":"https://doi.org/10.4208/cmr.2024-0030","is_oa":true,"landing_page_url":"https://doi.org/10.4208/cmr.2024-0030","pdf_url":null,"source":{"id":"https://openalex.org/S4210193857","display_name":"Communications in Mathematical Research","issn_l":"1674-5647","issn":["1674-5647","2707-8523"],"is_oa":true,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"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":"Communications in Mathematical Research","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G6699163396","display_name":"\u975e\u4ea4\u6362\u6307\u6807\u5b9a\u7406\u548c\u975e\u4ea4\u6362\u7559\u6570\u7684\u7814\u7a76","funder_award_id":"11771070","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1486036533","https://openalex.org/W1519034706","https://openalex.org/W1608007414","https://openalex.org/W1836726510","https://openalex.org/W1976628192","https://openalex.org/W1976944958","https://openalex.org/W2001020033","https://openalex.org/W2012216341","https://openalex.org/W2025019839","https://openalex.org/W2044661266","https://openalex.org/W2051503291","https://openalex.org/W2058677428","https://openalex.org/W2090698191","https://openalex.org/W2095964713","https://openalex.org/W2102879602","https://openalex.org/W2156470977","https://openalex.org/W2962857215","https://openalex.org/W3100384444","https://openalex.org/W3101757415","https://openalex.org/W4231010000","https://openalex.org/W4360593329","https://openalex.org/W4379530702","https://openalex.org/W4386348386","https://openalex.org/W4387724330"],"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/W4301509736"],"abstract_inverted_index":{"In":[0,20],"[T.":[1],"Wu":[2],"et":[3],"al.,":[4],"arXiv2310.09775,":[5],"2023],":[6],"a":[7],"general":[8,30],"Dabrowski-Sitarz-Zalecki":[9,31],"type":[10,32],"theorem":[11,33],"for":[12,34],"odd":[13,45],"dimensional":[14,46],"manifolds":[15,47],"with":[16,40,48],"boundary":[17],"was":[18],"proved.":[19],"this":[21],"paper,":[22],"we":[23],"give":[24],"the":[25,28,35,41],"proof":[26],"of":[27],"another":[29],"spectral":[36],"Einstein":[37],"functional":[38],"associated":[39],"Dirac":[42],"operator":[43],"on":[44],"boundary.":[49]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}
