{"title":"几乎非正的凯勒流形","authors":"Yuguang Zhang","doi":"arxiv-2409.03343","DOIUrl":null,"url":null,"abstract":"This paper proves that the universal covering of a compact K\\\"{a}hler\nmanifold with small positive sectional curvature in a certain sense is\ncontractible.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":"134 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Almost Non-positive Kähler Manifolds\",\"authors\":\"Yuguang Zhang\",\"doi\":\"arxiv-2409.03343\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper proves that the universal covering of a compact K\\\\\\\"{a}hler\\nmanifold with small positive sectional curvature in a certain sense is\\ncontractible.\",\"PeriodicalId\":501113,\"journal\":{\"name\":\"arXiv - MATH - Differential Geometry\",\"volume\":\"134 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-05\",\"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-2409.03343\",\"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-2409.03343","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper proves that the universal covering of a compact K\"{a}hler
manifold with small positive sectional curvature in a certain sense is
contractible.
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