Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W4210680389', 'doi': 'https://doi.org/10.1007/s41980-021-00633-4', 'title': 'Some Rigidity Results of Minimal Submanifolds in Space Forms', 'display_name': 'Some Rigidity Results of Minimal Submanifolds in Space Forms', 'publication_year': 2022, 'publication_date': '2022-01-29', 'ids': {'openalex': 'https://openalex.org/W4210680389', 'doi': 'https://doi.org/10.1007/s41980-021-00633-4'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s41980-021-00633-4', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S175325897', 'display_name': 'Bulletin of the Iranian Mathematical Society', 'issn_l': '1017-060X', 'issn': ['1017-060X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5102088862', 'display_name': 'Bingqing Ma', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I75955062', 'display_name': 'Henan Normal University', 'ror': 'https://ror.org/00s13br28', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I75955062']}], 'countries': ['CN'], 'is_corresponding': True, 'raw_author_name': 'Bingqing Ma', 'raw_affiliation_strings': ['Department of Mathematics, Henan Normal University, Xinxiang, People’s Republic of China'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Henan Normal University, Xinxiang, People’s Republic of China', 'institution_ids': ['https://openalex.org/I75955062']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5102088862'], 'corresponding_institution_ids': ['https://openalex.org/I75955062'], 'apc_list': {'value': 2490, 'currency': 'EUR', 'value_usd': 3090, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 61}, 'biblio': {'volume': '48', 'issue': '6', 'first_page': '2965', 'last_page': '2980'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10229', 'display_name': 'Optimal Transport in Geometry and Analysis', 'score': 1.0, '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': 'Optimal Transport in Geometry and Analysis', 'score': 1.0, '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 Stability of Kähler Metrics', 'score': 0.9947, '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/T13080', 'display_name': 'Finsler Geometry in Physics and Cosmology', 'score': 0.9854, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/second-fundamental-form', 'display_name': 'Second fundamental form', 'score': 0.79833114}, {'id': 'https://openalex.org/keywords/rigidity', 'display_name': 'Rigidity (electromagnetism)', 'score': 0.74524796}, {'id': 'https://openalex.org/keywords/space-form', 'display_name': 'Space form', 'score': 0.5459002}, {'id': 'https://openalex.org/keywords/minimal-surfaces', 'display_name': 'Minimal Surfaces', 'score': 0.534317}, {'id': 'https://openalex.org/keywords/minimal-surface', 'display_name': 'Minimal surface', 'score': 0.47654206}, {'id': 'https://openalex.org/keywords/totally-geodesic', 'display_name': 'Totally geodesic', 'score': 0.4402394}, {'id': 'https://openalex.org/keywords/hyperbolic-space', 'display_name': 'Hyperbolic space', 'score': 0.41432273}], 'concepts': [{'id': 'https://openalex.org/C151300846', 'wikidata': 'https://www.wikidata.org/wiki/Q125539', 'display_name': 'Submanifold', 'level': 2, 'score': 0.95645636}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.90010244}, {'id': 'https://openalex.org/C119830904', 'wikidata': 'https://www.wikidata.org/wiki/Q233220', 'display_name': 'Second fundamental form', 'level': 4, 'score': 0.79833114}, {'id': 'https://openalex.org/C160343418', 'wikidata': 'https://www.wikidata.org/wiki/Q185256', 'display_name': 'Rigidity (electromagnetism)', 'level': 2, 'score': 0.74524796}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.61814916}, {'id': 'https://openalex.org/C34388435', 'wikidata': 'https://www.wikidata.org/wiki/Q2267362', 'display_name': 'Bounded function', 'level': 2, 'score': 0.56775427}, {'id': 'https://openalex.org/C2776341046', 'wikidata': 'https://www.wikidata.org/wiki/Q4381552', 'display_name': 'Space form', 'level': 3, 'score': 0.5459002}, {'id': 'https://openalex.org/C165818556', 'wikidata': 'https://www.wikidata.org/wiki/Q213488', 'display_name': 'Geodesic', 'level': 2, 'score': 0.5347096}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.51996195}, {'id': 'https://openalex.org/C30707913', 'wikidata': 'https://www.wikidata.org/wiki/Q1545397', 'display_name': 'Minimal surface', 'level': 2, 'score': 0.47654206}, {'id': 'https://openalex.org/C3019300132', 'wikidata': 'https://www.wikidata.org/wiki/Q3237377', 'display_name': 'Totally geodesic', 'level': 2, 'score': 0.4402394}, {'id': 'https://openalex.org/C12089564', 'wikidata': 'https://www.wikidata.org/wiki/Q1195879', 'display_name': 'Ricci curvature', 'level': 3, 'score': 0.43654206}, {'id': 'https://openalex.org/C33676613', 'wikidata': 'https://www.wikidata.org/wiki/Q13415176', 'display_name': 'Dimension (graph theory)', 'level': 2, 'score': 0.42408237}, {'id': 'https://openalex.org/C83677898', 'wikidata': 'https://www.wikidata.org/wiki/Q1878538', 'display_name': 'Hyperbolic space', 'level': 2, 'score': 0.41432273}, {'id': 'https://openalex.org/C195065555', 'wikidata': 'https://www.wikidata.org/wiki/Q214881', 'display_name': 'Curvature', 'level': 2, 'score': 0.39737648}, {'id': 'https://openalex.org/C175017881', 'wikidata': 'https://www.wikidata.org/wiki/Q1318998', 'display_name': 'Mean curvature', 'level': 3, 'score': 0.339824}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.18387309}, {'id': 'https://openalex.org/C66938386', 'wikidata': 'https://www.wikidata.org/wiki/Q633538', 'display_name': 'Structural engineering', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C127413603', 'wikidata': 'https://www.wikidata.org/wiki/Q11023', 'display_name': 'Engineering', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s41980-021-00633-4', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S175325897', 'display_name': 'Bulletin of the Iranian Mathematical Society', 'issn_l': '1017-060X', 'issn': ['1017-060X'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 23, 'referenced_works': ['https://openalex.org/W1495785259', 'https://openalex.org/W1964899169', 'https://openalex.org/W1978620022', 'https://openalex.org/W1988511377', 'https://openalex.org/W2036663716', 'https://openalex.org/W2048957763', 'https://openalex.org/W2051047346', 'https://openalex.org/W2059447785', 'https://openalex.org/W2069950350', 'https://openalex.org/W2080967447', 'https://openalex.org/W2092741524', 'https://openalex.org/W2097889043', 'https://openalex.org/W2125507914', 'https://openalex.org/W2131183115', 'https://openalex.org/W2143884195', 'https://openalex.org/W2204534199', 'https://openalex.org/W2322146979', 'https://openalex.org/W2736601716', 'https://openalex.org/W2791976464', 'https://openalex.org/W3103516036', 'https://openalex.org/W3104762926', 'https://openalex.org/W4244940966', 'https://openalex.org/W4247611982'], 'related_works': ['https://openalex.org/W4287754392', 'https://openalex.org/W3103516036', 'https://openalex.org/W3097602262', 'https://openalex.org/W3081611451', 'https://openalex.org/W3036753006', 'https://openalex.org/W2963527161', 'https://openalex.org/W2741498613', 'https://openalex.org/W2080967447', 'https://openalex.org/W1991759242', 'https://openalex.org/W1626785302'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4210680389', 'counts_by_year': [], 'updated_date': '2024-09-14T20:14:56.964895', 'created_date': '2022-02-08'}