一阶黎曼循环曲率张量流形的分解

Journal of Nepal Mathematical Society Pub Date : 2022-12-20 DOI:10.3126/jnms.v5i2.50082

U. S. Negi, Preeti Chauhan, Sulochana

{"title":"一阶黎曼循环曲率张量流形的分解","authors":"U. S. Negi, Preeti Chauhan, Sulochana","doi":"10.3126/jnms.v5i2.50082","DOIUrl":null,"url":null,"abstract":"Takano [6] premeditated decomposition of curvature tensor in a recurrent Riemannian space. After that, Negi and Bisht [3] defined and deliberated decomposition of recurrent curvature tensor fields in a Kaehlerian manifolds of first order. We have calculated the decomposition of Riemannian recurrent curvature tensor manifolds of first order and some theorems established using the decomposition tensor field.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Decomposition of Riemannian Recurrent Curvature Tensor Manifolds of First Order\",\"authors\":\"U. S. Negi, Preeti Chauhan, Sulochana\",\"doi\":\"10.3126/jnms.v5i2.50082\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Takano [6] premeditated decomposition of curvature tensor in a recurrent Riemannian space. After that, Negi and Bisht [3] defined and deliberated decomposition of recurrent curvature tensor fields in a Kaehlerian manifolds of first order. We have calculated the decomposition of Riemannian recurrent curvature tensor manifolds of first order and some theorems established using the decomposition tensor field.\",\"PeriodicalId\":401623,\"journal\":{\"name\":\"Journal of Nepal Mathematical Society\",\"volume\":\"55 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nepal Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3126/jnms.v5i2.50082\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nepal Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3126/jnms.v5i2.50082","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

Takano[6]在循环黎曼空间中预先考虑了曲率张量的分解。之后，Negi和Bisht[3]定义并研究了一阶Kaehlerian流形中循环曲率张量场的分解。我们计算了黎曼循环曲率张量流形的一阶分解，并利用分解张量场建立了一些定理。

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

Decomposition of Riemannian Recurrent Curvature Tensor Manifolds of First Order

Takano [6] premeditated decomposition of curvature tensor in a recurrent Riemannian space. After that, Negi and Bisht [3] defined and deliberated decomposition of recurrent curvature tensor fields in a Kaehlerian manifolds of first order. We have calculated the decomposition of Riemannian recurrent curvature tensor manifolds of first order and some theorems established using the decomposition tensor field.

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

Journal of Nepal Mathematical Society

自引率

0.00%

发文量