{"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}
引用次数: 0
Abstract
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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