{"title":"校准锥的严格稳定性","authors":"Bryan Dimler, Jooho Lee","doi":"arxiv-2409.06094","DOIUrl":null,"url":null,"abstract":"We study the strict stability of calibrated cones with an isolated\nsingularity. For special Lagrangian cones and coassociative cones, we prove the\nstrict stability. In the complex case, we give non-strictly stable examples.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":"18 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Strict stability of calibrated cones\",\"authors\":\"Bryan Dimler, Jooho Lee\",\"doi\":\"arxiv-2409.06094\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the strict stability of calibrated cones with an isolated\\nsingularity. For special Lagrangian cones and coassociative cones, we prove the\\nstrict stability. In the complex case, we give non-strictly stable examples.\",\"PeriodicalId\":501113,\"journal\":{\"name\":\"arXiv - MATH - Differential Geometry\",\"volume\":\"18 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-09\",\"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-2409.06094\",\"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-2409.06094","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We study the strict stability of calibrated cones with an isolated
singularity. For special Lagrangian cones and coassociative cones, we prove the
strict stability. In the complex case, we give non-strictly stable examples.
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