{"title":"广义反射空间上的广义准复数结构","authors":"Johann Davidov","doi":"arxiv-2409.04835","DOIUrl":null,"url":null,"abstract":"Non-trivial examples of generalized paracomplex structures (in the sense of\nthe generalized geometry \\`a la Hitchin) are constructed applying the twistor\nspace construction scheme.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized paracomplex structures on generalized reflector spaces\",\"authors\":\"Johann Davidov\",\"doi\":\"arxiv-2409.04835\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Non-trivial examples of generalized paracomplex structures (in the sense of\\nthe generalized geometry \\\\`a la Hitchin) are constructed applying the twistor\\nspace construction scheme.\",\"PeriodicalId\":501113,\"journal\":{\"name\":\"arXiv - MATH - Differential Geometry\",\"volume\":\"2 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Differential Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.04835\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04835","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
应用扭转空间构造方案构建了广义准复数结构（在广义几何（the generalized geometry \a la Hitchin）的意义上）的非微观实例。
Generalized paracomplex structures on generalized reflector spaces
Non-trivial examples of generalized paracomplex structures (in the sense of
the generalized geometry \`a la Hitchin) are constructed applying the twistor
space construction scheme.
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