{"doi":"10.1142/s0129167x02001174","title":"BOCHNER–WEITZENBÖCK FORMULAS ASSOCIATED WITH THE RARITA–SCHWINGER OPERATOR","abstract":"<jats:p> We compute several identities relating curvature actions to second-order differential operators on twistors and sections of related bundles. Based on these formulas, we establish various estimates and vanishing theorems. </jats:p>","journal":"International Journal of Mathematics","year":2002,"id":23940,"datarank":1.6175664254830917,"base_score":2.833213344056216,"endowment":2.833213344056216,"self_citation_contribution":0.42498200160843247,"citation_network_contribution":1.1925844238746592,"self_endowment_contribution":0.42498200160843247,"citer_contribution":1.1925844238746592,"corpus_percentile":null,"corpus_rank":null,"citation_count":16,"citer_count":16,"citers_with_citation_signal":12,"citers_with_endowment":12,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":145183,"name":"OUSSAMA HIJAZI","orcid":null,"position":1,"is_corresponding":false},{"id":145182,"name":"THOMAS BRANSON","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":2.833213344056216,"endowment":2.833213344056216,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"18998881","pmcid":null,"openalex_id":"https://openalex.org/W2024655624","authors":[],"funders":[{"funder_name":"National Science Foundation","grant_id":"9722779","title":"U.S.-Germany Cooperative Research on Spectral Theory"}],"total_grants":1,"fwci":1.4578,"citation_percentile":0.79031447,"influential_citations":2,"citation_trend":[{"year":2012,"count":1},{"year":2014,"count":1},{"year":2016,"count":1},{"year":2018,"count":1},{"year":2019,"count":1},{"year":2021,"count":2},{"year":2023,"count":1},{"year":2026,"count":1}],"oa_status":"closed","license":"arXiv Non-Exclusive Distribution","oa_locations":[{"url":"https://www.worldscientific.com/doi/pdf/10.1142/S0129167X02001174","host_type":"publisher"},{"url":"https://doi.org/10.1142/s0129167x02001174","host_type":"journal"},{"url":"https://dx.doi.org/10.48550/arxiv.hep-th/0110014","host_type":""},{"url":"http://arxiv.org/abs/hep-th/0110014","host_type":""},{"url":"https://zbmath.org/1911929","host_type":""},{"url":"https://dx.doi.org/10.1142/s0129167x02001174","host_type":""}],"fields_of_study":["Geometry and complex manifolds","Geometric Analysis and Curvature Flows","Advanced Differential Geometry Research","Physics","Mathematics","0101 mathematics","01 natural sciences"],"mesh_terms":[],"keywords":["Mathematics","Operator (biology)","Quasinormal operator","Algebra over a field","Pure mathematics","Mathematical analysis","Finite-rank operator","Banach space","Weitzenböck formula","High Energy Physics - Theory","Twistor methods in differential geometry","twistor","High Energy Physics - Theory (hep-th)","Spin and Spin\\({}^c\\) geometry","FOS: Physical sciences","Kato inequality","Rarita-Schwinger operator"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-07T20:56:54.700267Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}