无限近点束的黄金结构延伸

IF 0.3 Q4 MATHEMATICS Journal of the Indonesian Mathematical Society Pub Date : 2022-03-31 DOI:10.22342/jims.28.1.1058.84-95

G.F. Wankap Nono, A. Ntyam, Emmanuel Hinamari Mang-Massou

{"title":"无限近点束的黄金结构延伸","authors":"G.F. Wankap Nono, A. Ntyam, Emmanuel Hinamari Mang-Massou","doi":"10.22342/jims.28.1.1058.84-95","DOIUrl":null,"url":null,"abstract":"For a Golden-structure ζ on a smooth manifold M and any covariant functor which assigns to M its bundle MA of infinitely near points of A-king, we define the Golden structure ζ^A on M^A and prove that ζ is integrable if and only if so is ζ^A. We also investigate the integrability, parallelism, half parallelism and anti-half parallelism of the Golden-structure ζ^A and their associated distributions on M^A.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Prolongations of Golden Structure to Bundles of Infinitely Near Points\",\"authors\":\"G.F. Wankap Nono, A. Ntyam, Emmanuel Hinamari Mang-Massou\",\"doi\":\"10.22342/jims.28.1.1058.84-95\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For a Golden-structure ζ on a smooth manifold M and any covariant functor which assigns to M its bundle MA of infinitely near points of A-king, we define the Golden structure ζ^A on M^A and prove that ζ is integrable if and only if so is ζ^A. We also investigate the integrability, parallelism, half parallelism and anti-half parallelism of the Golden-structure ζ^A and their associated distributions on M^A.\",\"PeriodicalId\":42206,\"journal\":{\"name\":\"Journal of the Indonesian Mathematical Society\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Indonesian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22342/jims.28.1.1058.84-95\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Indonesian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22342/jims.28.1.1058.84-95","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

对于光滑流形M上的金结构ζ和任意赋值给M的a -king无穷近点束MA的协变函子，我们定义了M^ a上的金结构ζ^ a，并证明ζ^ a是可积的当且仅当ζ^ a是可积的。我们还研究了金结构ζ^A的可积性、并行性、半并行性和反半并行性及其在M^A上的相关分布。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Prolongations of Golden Structure to Bundles of Infinitely Near Points

For a Golden-structure ζ on a smooth manifold M and any covariant functor which assigns to M its bundle MA of infinitely near points of A-king, we define the Golden structure ζ^A on M^A and prove that ζ is integrable if and only if so is ζ^A. We also investigate the integrability, parallelism, half parallelism and anti-half parallelism of the Golden-structure ζ^A and their associated distributions on M^A.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊