{"title":"非标准无限爱因斯坦索曼菲尔德","authors":"Federico A. Rossi","doi":"arxiv-2409.00462","DOIUrl":null,"url":null,"abstract":"We describe an example of an indefinite invariant Einstein metric on a\nsolvmanifold which is not standard, and whose restriction on the nilradical is\nnondegenerate.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":"42 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A non-Standard Indefinite Einstein Solvmanifold\",\"authors\":\"Federico A. Rossi\",\"doi\":\"arxiv-2409.00462\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe an example of an indefinite invariant Einstein metric on a\\nsolvmanifold which is not standard, and whose restriction on the nilradical is\\nnondegenerate.\",\"PeriodicalId\":501113,\"journal\":{\"name\":\"arXiv - MATH - Differential Geometry\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-31\",\"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-2409.00462\",\"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-2409.00462","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We describe an example of an indefinite invariant Einstein metric on a
solvmanifold which is not standard, and whose restriction on the nilradical is
nondegenerate.
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