{"title":"框架束几何","authors":"Kazimeras Navickis","doi":"10.15388/lmr.2000.35084","DOIUrl":null,"url":null,"abstract":"In this article we define the canonical forms on the principal bundle of holonomic frames of order r, give structure equations for these forms and determine the connection of order r.","PeriodicalId":33611,"journal":{"name":"Lietuvos Matematikos Rinkinys","volume":"142 13","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Geometry of frame bundles\",\"authors\":\"Kazimeras Navickis\",\"doi\":\"10.15388/lmr.2000.35084\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article we define the canonical forms on the principal bundle of holonomic frames of order r, give structure equations for these forms and determine the connection of order r.\",\"PeriodicalId\":33611,\"journal\":{\"name\":\"Lietuvos Matematikos Rinkinys\",\"volume\":\"142 13\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Lietuvos Matematikos Rinkinys\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15388/lmr.2000.35084\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lietuvos Matematikos Rinkinys","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15388/lmr.2000.35084","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中，我们定义了阶数为 r 的整体框架主束上的典型形式，给出了这些形式的结构方程，并确定了阶数为 r 的连接。
In this article we define the canonical forms on the principal bundle of holonomic frames of order r, give structure equations for these forms and determine the connection of order r.
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