一类芬斯勒空间的共形向量场

IF 0.6 3区数学 Q3 MATHEMATICS

Periodica Mathematica Hungarica Pub Date : 2024-07-07 DOI:10.1007/s10998-024-00594-1

Guojun Yang

{"title":"一类芬斯勒空间的共形向量场","authors":"Guojun Yang","doi":"10.1007/s10998-024-00594-1","DOIUrl":null,"url":null,"abstract":"In this paper, we first give two fundamental principles to characterize conformal vector fields of \\((\\alpha ,\\beta )\\)-spaces to be homothetic and determine the local structure of those homothetic fields. Then we use the principles to study conformal vector fields of \\((\\alpha ,\\beta )\\)-spaces under certain curvature conditions. Besides, we construct a family of non-homothetic conformal vector fields on a family of locally projectively flat Randers spaces.","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"25 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Conformal vector fields of a class of Finsler spaces\",\"authors\":\"Guojun Yang\",\"doi\":\"10.1007/s10998-024-00594-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we first give two fundamental principles to characterize conformal vector fields of \\\\((\\\\alpha ,\\\\beta )\\\\)-spaces to be homothetic and determine the local structure of those homothetic fields. Then we use the principles to study conformal vector fields of \\\\((\\\\alpha ,\\\\beta )\\\\)-spaces under certain curvature conditions. Besides, we construct a family of non-homothetic conformal vector fields on a family of locally projectively flat Randers spaces.\",\"PeriodicalId\":49706,\"journal\":{\"name\":\"Periodica Mathematica Hungarica\",\"volume\":\"25 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-07-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Periodica Mathematica Hungarica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s10998-024-00594-1\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Periodica Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10998-024-00594-1","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们首先给出了两个基本原理来表征 \((\alpha ,\beta )\) 空间的共形向量场是同调的，并确定了这些同调场的局部结构。然后，我们利用这些原理来研究在一定曲率条件下的（(\alpha ,\beta)）空间的共形向量场。此外，我们还在一系列局部投影平坦的兰德斯空间上构造了非同调共形向量场。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Conformal vector fields of a class of Finsler spaces

In this paper, we first give two fundamental principles to characterize conformal vector fields of \((\alpha ,\beta )\)-spaces to be homothetic and determine the local structure of those homothetic fields. Then we use the principles to study conformal vector fields of \((\alpha ,\beta )\)-spaces under certain curvature conditions. Besides, we construct a family of non-homothetic conformal vector fields on a family of locally projectively flat Randers spaces.

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

Periodica Mathematica Hungarica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Periodica Mathematica Hungarica is devoted to publishing research articles in all areas of pure and applied mathematics as well as theoretical computer science. To be published in the Periodica, a paper must be correct, new, and significant. Very strong submissions (upon the consent of the author) will be redirected to Acta Mathematica Hungarica. Periodica Mathematica Hungarica is the journal of the Hungarian Mathematical Society (János Bolyai Mathematical Society). The main profile of the journal is in pure mathematics, being open to applied mathematical papers with significant mathematical content.