{"title":"关于非完整射流的对称性","authors":"Miroslav Kureš","doi":"10.3318/PRIA.2005.105.1.93","DOIUrl":null,"url":null,"abstract":"The canonical involution in the second order iterated tangent bundle is generalised for an arbitrary order and transfered to jet spaces. The classification of all symmetrised nonholonomic jets of the third order is given.","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"ON THE SYMMETRISATION OF NONHOLONOMIC JETS\",\"authors\":\"Miroslav Kureš\",\"doi\":\"10.3318/PRIA.2005.105.1.93\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The canonical involution in the second order iterated tangent bundle is generalised for an arbitrary order and transfered to jet spaces. The classification of all symmetrised nonholonomic jets of the third order is given.\",\"PeriodicalId\":434988,\"journal\":{\"name\":\"Mathematical Proceedings of the Royal Irish Academy\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Proceedings of the Royal Irish Academy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3318/PRIA.2005.105.1.93\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Proceedings of the Royal Irish Academy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3318/PRIA.2005.105.1.93","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The canonical involution in the second order iterated tangent bundle is generalised for an arbitrary order and transfered to jet spaces. The classification of all symmetrised nonholonomic jets of the third order is given.