{"title":"捻线器和结构","authors":"D V Alekseevskiĭ, M M Graev","doi":"10.1070/IM1993v040n01ABEH001851","DOIUrl":null,"url":null,"abstract":"The authors distinguish a class of twistor spaces that are associated, following Bérard-Bergery and Ochiai, with -structures on even-dimensional manifolds and connections in . It is assumed that is a complex totally geodesic submanifold of the affine symmetric space . This class includes all the basic examples of twistor spaces fibered over an even-dimensional base. The integrability of the canonical almost complex structure and the holomorphy of the canonical distribution in are studied in terms of some natural -structure with a connection on the manifold . Some examples are also treated.","PeriodicalId":158473,"journal":{"name":"Russian Academy of Sciences. Izvestiya Mathematics","volume":"50 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"TWISTORS AND -STRUCTURES\",\"authors\":\"D V Alekseevskiĭ, M M Graev\",\"doi\":\"10.1070/IM1993v040n01ABEH001851\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors distinguish a class of twistor spaces that are associated, following Bérard-Bergery and Ochiai, with -structures on even-dimensional manifolds and connections in . It is assumed that is a complex totally geodesic submanifold of the affine symmetric space . This class includes all the basic examples of twistor spaces fibered over an even-dimensional base. The integrability of the canonical almost complex structure and the holomorphy of the canonical distribution in are studied in terms of some natural -structure with a connection on the manifold . Some examples are also treated.\",\"PeriodicalId\":158473,\"journal\":{\"name\":\"Russian Academy of Sciences. Izvestiya Mathematics\",\"volume\":\"50 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Russian Academy of Sciences. Izvestiya Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1993v040n01ABEH001851\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Academy of Sciences. Izvestiya Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1993v040n01ABEH001851","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The authors distinguish a class of twistor spaces that are associated, following Bérard-Bergery and Ochiai, with -structures on even-dimensional manifolds and connections in . It is assumed that is a complex totally geodesic submanifold of the affine symmetric space . This class includes all the basic examples of twistor spaces fibered over an even-dimensional base. The integrability of the canonical almost complex structure and the holomorphy of the canonical distribution in are studied in terms of some natural -structure with a connection on the manifold . Some examples are also treated.
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