{"title":"具有有界L²曲率的奇异束","authors":"T. M. Kessel","doi":"10.3929/ETHZ-A-005688614","DOIUrl":null,"url":null,"abstract":"Abstract: We consider calculus of variations of the Yang-Mills functional in dimensions larger than the critical dimension 4. We explain how this naturally leads to a class of – a priori not well-defined – singular bundles including possibly “almost everywhere singular bundles”. In order to overcome this difficulty, we suggest a suitable new framework, namely the notion of singular bundles with bounded L-curvatures.","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"38 1","pages":"881-901"},"PeriodicalIF":0.7000,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"Singular bundles with bounded L²-curvatures\",\"authors\":\"T. M. Kessel\",\"doi\":\"10.3929/ETHZ-A-005688614\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract: We consider calculus of variations of the Yang-Mills functional in dimensions larger than the critical dimension 4. We explain how this naturally leads to a class of – a priori not well-defined – singular bundles including possibly “almost everywhere singular bundles”. In order to overcome this difficulty, we suggest a suitable new framework, namely the notion of singular bundles with bounded L-curvatures.\",\"PeriodicalId\":54191,\"journal\":{\"name\":\"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA\",\"volume\":\"38 1\",\"pages\":\"881-901\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2008-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3929/ETHZ-A-005688614\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3929/ETHZ-A-005688614","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract: We consider calculus of variations of the Yang-Mills functional in dimensions larger than the critical dimension 4. We explain how this naturally leads to a class of – a priori not well-defined – singular bundles including possibly “almost everywhere singular bundles”. In order to overcome this difficulty, we suggest a suitable new framework, namely the notion of singular bundles with bounded L-curvatures.
期刊介绍：
The Bollettino dell''Unione Matematica Italiana (BUMI) is the scientific journal of Unione Matematica Italiana: it publishes original research and high quality survey articles in all fields of Mathematics. There is no upper limit to the number of pages per article. The Unione Matematica Italiana was founded by Salvatore Pincherle in 1922, and has published BUMI since then. Articles published in BUMI will be freely available to the general public on SpringerLink 5 years after publication.
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