{"title":"严格伪凸区域边界上的二维球面","authors":"N. Kruzhilin","doi":"10.1070/IM1992V039N03ABEH002242","DOIUrl":null,"url":null,"abstract":"It is shown that there exists a Levi-flat surface in with boundary on a given two-dimensional sphere that lies in the boundary of a strictly pseudoconvex domain and is totally real everywhere except at a finite number of elliptic and hyperbolic points.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"20","resultStr":"{\"title\":\"TWO-DIMENSIONAL SPHERES IN THE BOUNDARIES OF STRICTLY PSEUDOCONVEX DOMAINS IN $ \\\\mathbb C^2$\",\"authors\":\"N. Kruzhilin\",\"doi\":\"10.1070/IM1992V039N03ABEH002242\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that there exists a Levi-flat surface in with boundary on a given two-dimensional sphere that lies in the boundary of a strictly pseudoconvex domain and is totally real everywhere except at a finite number of elliptic and hyperbolic points.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"20\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1992V039N03ABEH002242\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V039N03ABEH002242","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
TWO-DIMENSIONAL SPHERES IN THE BOUNDARIES OF STRICTLY PSEUDOCONVEX DOMAINS IN $ \mathbb C^2$
It is shown that there exists a Levi-flat surface in with boundary on a given two-dimensional sphere that lies in the boundary of a strictly pseudoconvex domain and is totally real everywhere except at a finite number of elliptic and hyperbolic points.
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