3- sasaki空间形式中半倾斜子流形的Ricci和标量曲率

IF 0.4 Q4 MATHEMATICS Journal of Mathematical Extension Pub Date : 2021-01-02 DOI:10.30495/JME.V0I0.1677

M. B. K. Balgeshir, S. Uddin, Soghra Tarigi Ahmadsaryi

{"title":"3- sasaki空间形式中半倾斜子流形的Ricci和标量曲率","authors":"M. B. K. Balgeshir, S. Uddin, Soghra Tarigi Ahmadsaryi","doi":"10.30495/JME.V0I0.1677","DOIUrl":null,"url":null,"abstract":"‎In this paper‎, ‎we study hemi-slant submanifolds of 3-Sasakian manifolds‎. ‎First‎, ‎we obtain some new results in terms of the operators $T_i$ and $n_i$ and then by using Gauss‎, ‎Codazzi and Ricci equations‎, ‎we prove some results involving Ricci and scalar curvature tensors in terms of the slant angle and the mean curvature vector of the submanifold.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Ricci and scalar curvatures of hemi-slant submanifolds in 3-Sasakian space forms\",\"authors\":\"M. B. K. Balgeshir, S. Uddin, Soghra Tarigi Ahmadsaryi\",\"doi\":\"10.30495/JME.V0I0.1677\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"‎In this paper‎, ‎we study hemi-slant submanifolds of 3-Sasakian manifolds‎. ‎First‎, ‎we obtain some new results in terms of the operators $T_i$ and $n_i$ and then by using Gauss‎, ‎Codazzi and Ricci equations‎, ‎we prove some results involving Ricci and scalar curvature tensors in terms of the slant angle and the mean curvature vector of the submanifold.\",\"PeriodicalId\":43745,\"journal\":{\"name\":\"Journal of Mathematical Extension\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-01-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Extension\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30495/JME.V0I0.1677\",\"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 Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1677","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

在本文中，我们研究了3-Sasakian流形的半倾斜子流形。首先，我们得到了关于T_i和n_i算子的一些新结果，然后利用高斯方程、Codazzi方程和Ricci方程，证明了关于子流形的斜角和平均曲率矢量的Ricci和标量曲率张量的一些结果。

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

Ricci and scalar curvatures of hemi-slant submanifolds in 3-Sasakian space forms

‎In this paper‎, ‎we study hemi-slant submanifolds of 3-Sasakian manifolds‎. ‎First‎, ‎we obtain some new results in terms of the operators $T_i$ and $n_i$ and then by using Gauss‎, ‎Codazzi and Ricci equations‎, ‎we prove some results involving Ricci and scalar curvature tensors in terms of the slant angle and the mean curvature vector of the submanifold.

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 Mathematical Extension MATHEMATICS-

自引率

0.00%

发文量

审稿时长

24 weeks