{"id":"https://openalex.org/W3099080167","doi":null,"title":"FROM SPINOR GEOMETRY TO COMPLEX GENERAL RELATIVITY","display_name":"FROM SPINOR GEOMETRY TO COMPLEX GENERAL RELATIVITY","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W3099080167","mag":"3099080167"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.268.7839","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.268.7839","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/hep-th/0504089v2.pdf","raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003529153","display_name":"Giampiero V. M. Esposito","orcid":"https://orcid.org/0000-0001-5930-8366","observed_orcids":["https://orcid.org/0000-0001-5930-8366"]},"institutions":[{"id":"https://openalex.org/I4210108560","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Napoli","ror":"https://ror.org/015kcdd40","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210108560"]},{"id":"https://openalex.org/I71267560","display_name":"University of Naples Federico II","ror":"https://ror.org/05290cv24","country_code":"IT","type":"education","lineage":["https://openalex.org/I71267560"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giampiero Esposito","raw_affiliation_strings":["INFN, Sezione di Napoli, and Dipartimento di Scienze Fisiche, Universit\u00e0 Federico II, Complesso Universitario di Monte S. Angelo, Via Cintia, Edificio N', 80126 Napoli, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INFN, Sezione di Napoli, and Dipartimento di Scienze Fisiche, Universit\u00e0 Federico II, Complesso Universitario di Monte S. Angelo, Via Cintia, Edificio N', 80126 Napoli, Italy","institution_ids":["https://openalex.org/I4210108560","https://openalex.org/I71267560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003529153"],"corresponding_institution_ids":["https://openalex.org/I4210108560","https://openalex.org/I71267560"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.8295999765396118,"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"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.8295999765396118,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.1339000016450882,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T12351","display_name":"Geometry and complex manifolds","score":0.020400000736117363,"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/complex-spacetime","display_name":"complex spacetime","score":0.7070000171661377},{"id":"https://openalex.org/keywords/two-component-spinors","display_name":"two-component spinors","score":0.8090000152587891},{"id":"https://openalex.org/keywords/twistor-theory","display_name":"twistor theory","score":0.7120000123977661},{"id":"https://openalex.org/keywords/penrose-transform","display_name":"Penrose transform","score":0.9570000171661377},{"id":"https://openalex.org/keywords/weyl-gravity","display_name":"conformal gravity","score":0.9639999866485596},{"id":"https://openalex.org/keywords/alpha-plane","display_name":"alpha plane","score":0.8650000095367432},{"id":"https://openalex.org/keywords/complex-manifolds","display_name":"complex manifolds","score":0.8029999732971191},{"id":"https://openalex.org/keywords/heavenly-equations","display_name":"heavenly equations","score":0.9580000042915344},{"id":"https://openalex.org/keywords/quantum-gravity","display_name":"quantum gravity","score":0.7260000109672546}],"concepts":[{"id":"https://openalex.org/C25793852","wikidata":"https://www.wikidata.org/wiki/Q279082","display_name":"Twistor theory","level":2,"score":0.8978090286254883},{"id":"https://openalex.org/C43506125","wikidata":"https://www.wikidata.org/wiki/Q604907","display_name":"Spinor","level":2,"score":0.7898564338684082},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.7422677278518677},{"id":"https://openalex.org/C15349852","wikidata":"https://www.wikidata.org/wiki/Q7858591","display_name":"Twistor space","level":3,"score":0.6182277798652649},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.605140209197998},{"id":"https://openalex.org/C23134205","wikidata":"https://www.wikidata.org/wiki/Q11455","display_name":"Special relativity","level":3,"score":0.5406017899513245},{"id":"https://openalex.org/C200028538","wikidata":"https://www.wikidata.org/wiki/Q5474919","display_name":"Four-force","level":3,"score":0.5346763134002686},{"id":"https://openalex.org/C149324446","wikidata":"https://www.wikidata.org/wiki/Q43514","display_name":"Theory of relativity","level":2,"score":0.4953721761703491},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.4647378921508789},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.45912113785743713},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.45691049098968506},{"id":"https://openalex.org/C125669323","wikidata":"https://www.wikidata.org/wiki/Q513175","display_name":"Conformal geometry","level":4,"score":0.44835859537124634},{"id":"https://openalex.org/C2776727279","wikidata":"https://www.wikidata.org/wiki/Q4489450","display_name":"Heaven","level":2,"score":0.44521552324295044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4425911009311676},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.4376488924026489},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.4238457679748535},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37529900670051575},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.31608882546424866},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3153572082519531},{"id":"https://openalex.org/C173848574","wikidata":"https://www.wikidata.org/wiki/Q3507963","display_name":"Conformal symmetry","level":3,"score":0.27769502997398376},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.14025110006332397},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13025039434432983},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.268.7839","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.268.7839","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/hep-th/0504089v2.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.269.319","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.269.319","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/hep-th/0504089v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":109,"referenced_works":["https://openalex.org/W175018547","https://openalex.org/W380728286","https://openalex.org/W562375646","https://openalex.org/W575107490","https://openalex.org/W591280313","https://openalex.org/W600775027","https://openalex.org/W634024570","https://openalex.org/W647113138","https://openalex.org/W824822901","https://openalex.org/W1487405240","https://openalex.org/W1543790798","https://openalex.org/W1560145191","https://openalex.org/W1565178437","https://openalex.org/W1587422974","https://openalex.org/W1598444264","https://openalex.org/W1609259612","https://openalex.org/W1618867321","https://openalex.org/W1625039099","https://openalex.org/W1638368215","https://openalex.org/W1642297462","https://openalex.org/W1672805965","https://openalex.org/W1789645782","https://openalex.org/W1879748427","https://openalex.org/W1968712340","https://openalex.org/W1970415789","https://openalex.org/W1971593741","https://openalex.org/W1974676758","https://openalex.org/W1976106804","https://openalex.org/W1981074566","https://openalex.org/W1981181110","https://openalex.org/W1989573305","https://openalex.org/W1990911404","https://openalex.org/W1992660255","https://openalex.org/W1994815665","https://openalex.org/W1996280062","https://openalex.org/W1998647411","https://openalex.org/W1999678373","https://openalex.org/W2001454061","https://openalex.org/W2002907188","https://openalex.org/W2004613529","https://openalex.org/W2004955927","https://openalex.org/W2010627950","https://openalex.org/W2012511088","https://openalex.org/W2022526666","https://openalex.org/W2022898938","https://openalex.org/W2024551315","https://openalex.org/W2029403139","https://openalex.org/W2030004428","https://openalex.org/W2032794547","https://openalex.org/W2036093688","https://openalex.org/W2039444000","https://openalex.org/W2040050377","https://openalex.org/W2043481908","https://openalex.org/W2046590835","https://openalex.org/W2048146900","https://openalex.org/W2049167244","https://openalex.org/W2056702372","https://openalex.org/W2064052543","https://openalex.org/W2065748756","https://openalex.org/W2069177373","https://openalex.org/W2069592886","https://openalex.org/W2070319910","https://openalex.org/W2072575347","https://openalex.org/W2073466404","https://openalex.org/W2076072632","https://openalex.org/W2078759292","https://openalex.org/W2080131704","https://openalex.org/W2083365421","https://openalex.org/W2084824561","https://openalex.org/W2086397407","https://openalex.org/W2091099245","https://openalex.org/W2091616343","https://openalex.org/W2092325253","https://openalex.org/W2095215957","https://openalex.org/W2095518056","https://openalex.org/W2103258360","https://openalex.org/W2118856039","https://openalex.org/W2130674032","https://openalex.org/W2134797084","https://openalex.org/W2134811626","https://openalex.org/W2165400029","https://openalex.org/W2172029623","https://openalex.org/W2256008840","https://openalex.org/W2261947640","https://openalex.org/W2460523055","https://openalex.org/W2482638577","https://openalex.org/W2498151673","https://openalex.org/W2598657961","https://openalex.org/W2764875518","https://openalex.org/W2794162265","https://openalex.org/W2942393634","https://openalex.org/W2984932572","https://openalex.org/W2989781681","https://openalex.org/W3046956820","https://openalex.org/W3085397801","https://openalex.org/W3096884310","https://openalex.org/W3100223116","https://openalex.org/W3101636055","https://openalex.org/W3101784769","https://openalex.org/W3102875929","https://openalex.org/W3109240159","https://openalex.org/W3126935276","https://openalex.org/W3196662696","https://openalex.org/W4210682782","https://openalex.org/W4230384102","https://openalex.org/W4238980963","https://openalex.org/W4240176422","https://openalex.org/W4299869711","https://openalex.org/W7093570343"],"related_works":["https://openalex.org/W2506967762","https://openalex.org/W1528547066","https://openalex.org/W2084824561","https://openalex.org/W2049167244","https://openalex.org/W2482806238","https://openalex.org/W1845521868","https://openalex.org/W2028201715","https://openalex.org/W1130269629","https://openalex.org/W7165731311","https://openalex.org/W7098967722"],"abstract_inverted_index":{"An":[0],"attempt":[1],"is":[2],"made":[3],"of":[4,104],"giving":[5],"a":[6],"self-contained":[7],"introduction":[8],"to":[9,64,98],"holomorphic":[10],"ideas":[11],"in":[12,37,80],"general":[13],"relativity,":[14],"following":[15],"work":[16],"over":[17],"the":[18,95,102],"last":[19],"thirty":[20],"years":[21],"by":[22],"several":[23],"authors.":[24],"The":[25,67,107],"main":[26],"topics":[27],"are":[28,83],"complex":[29,74],"manifolds,":[30],"two-component":[31],"spinor":[32],"calculus,":[33],"conformal":[34,105],"gravity,":[35,100],"\u03b1-planes":[36],"Minkowski":[38],"space-time,":[39],"\u03b1-surfaces":[40],"and":[41,46,53,69,101],"twistor":[42],"geometry,":[43,90],"anti-self-dual":[44],"space-times":[45,75],"Penrose":[47,60],"transform,":[48],"spin-3/2":[49],"potentials,":[50],"heaven":[51],"spaces":[52],"heavenly":[54],"equations.":[55],"Keywords:":[56],"Two-component":[57],"spinors;":[58],"twistors;":[59],"transform.":[61],"1.":[62],"Introduction":[63],"Complex":[65],"Space-Time":[66],"physical":[68],"mathematical":[70],"motivations":[71],"for":[72],"studying":[73],"or":[76],"real":[77],"Riemannian":[78],"four-manifolds":[79],"gravitational":[81],"physics":[82],"first":[84],"described.":[85],"They":[86],"originate":[87],"from":[88],"algebraic":[89],"Euclidean":[91],"quantum":[92,99],"field":[93],"theory,":[94],"pathintegral":[96],"approach":[97],"theory":[103],"gravity.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-11-23T00:00:00"}
