{"title":"水平曲率和分类结果","authors":"Chiara Guidi, Vittorio Martino","doi":"10.5186/aasfm.2020.4541","DOIUrl":null,"url":null,"abstract":". In this paper we consider the horizontal high-order curvatures of a real hypersurface in a generic Kähler manifold and we prove a rigidity result under a suitable assumption of parallelism. As an application we get a classification result for hypersurfaces in a complex space form.","PeriodicalId":50787,"journal":{"name":"Annales Academiae Scientiarum Fennicae-Mathematica","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Horizontal curvatures and classification results\",\"authors\":\"Chiara Guidi, Vittorio Martino\",\"doi\":\"10.5186/aasfm.2020.4541\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper we consider the horizontal high-order curvatures of a real hypersurface in a generic Kähler manifold and we prove a rigidity result under a suitable assumption of parallelism. As an application we get a classification result for hypersurfaces in a complex space form.\",\"PeriodicalId\":50787,\"journal\":{\"name\":\"Annales Academiae Scientiarum Fennicae-Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Academiae Scientiarum Fennicae-Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.5186/aasfm.2020.4541\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Academiae Scientiarum Fennicae-Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.5186/aasfm.2020.4541","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
. In this paper we consider the horizontal high-order curvatures of a real hypersurface in a generic Kähler manifold and we prove a rigidity result under a suitable assumption of parallelism. As an application we get a classification result for hypersurfaces in a complex space form.
期刊介绍：
Annales Academiæ Scientiarum Fennicæ Mathematica is published by Academia Scientiarum Fennica since 1941. It was founded and edited, until 1974, by P.J. Myrberg. Its editor is Olli Martio.
AASF publishes refereed papers in all fields of mathematics with emphasis on analysis.
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