η-Ricci--Yamabe and *-η-Ricci--Yamabe solitons in Lorentzian para-Kenmotsu manifolds

IF 1.1 1区哲学 0 PHILOSOPHY ANALYSIS Pub Date : 2024-03-26 DOI:10.1515/anly-2023-0039

Rajendra Prasad, A. Haseeb, Vinay Kumar

{"title":"η-Ricci--Yamabe and *-η-Ricci--Yamabe solitons in Lorentzian para-Kenmotsu manifolds","authors":"Rajendra Prasad, A. Haseeb, Vinay Kumar","doi":"10.1515/anly-2023-0039","DOIUrl":null,"url":null,"abstract":"\n The main purpose of this paper is to study η-Ricci–Yamabe solitons (η-RYS) and \n \n <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\n <m:mo>*</m:mo>\n </m:math>\n \n {*}\n \n -η-Ricci–Yamabe solitons (\n \n <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\n <m:mo>*</m:mo>\n </m:math>\n \n {*}\n \n -η-RYS) in Lorentzian para-Kenmotsu n-manifolds (briefly, \n \n <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\n <m:msub>\n <m:mrow>\n <m:mo stretchy=\"false\">(</m:mo>\n <m:mi>LPK</m:mi>\n <m:mo stretchy=\"false\">)</m:mo>\n </m:mrow>\n <m:mi>n</m:mi>\n </m:msub>\n </m:math>\n \n {(\\mathrm{LPK})_{n}}\n \n ). We study the curvature condition \n \n <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\n <m:mrow>\n <m:mi>R</m:mi>\n <m:mo>.</m:mo>\n <m:mrow>\n <m:mi>S</m:mi>\n <m:mo>=</m:mo>\n <m:mn>0</m:mn>\n </m:mrow>\n </m:mrow>\n </m:math>\n \n {R.S=0}\n \n and the cyclic parallel Ricci tensor in \n \n <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\n <m:msub>\n <m:mrow>\n <m:mo stretchy=\"false\">(</m:mo>\n <m:mi>LPK</m:mi>\n <m:mo stretchy=\"false\">)</m:mo>\n </m:mrow>\n <m:mi>n</m:mi>\n </m:msub>\n </m:math>\n \n {(\\mathrm{LPK})_{n}}\n \n admitting η-RYS. Furthermore, we study M-projectively flat and quasi-M-projectively flat Lorentzian para-Kenmotsu manifolds admitting \n \n <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\n <m:mo>*</m:mo>\n </m:math>\n \n {*}\n \n -η-RYS. Finally, we give two examples of Lorentzian para-Kenmotsu manifolds admitting η-RYS and \n \n <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\">\n <m:mo>*</m:mo>\n </m:math>\n \n {*}\n \n -η-RYS to verify some of our results.","PeriodicalId":47773,"journal":{"name":"ANALYSIS","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ANALYSIS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2023-0039","RegionNum":1,"RegionCategory":"哲学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"0","JCRName":"PHILOSOPHY","Score":null,"Total":0}

引用次数: 0

Abstract

The main purpose of this paper is to study η-Ricci–Yamabe solitons (η-RYS) and *

{*}

-η-Ricci–Yamabe solitons ( *

{*}

-η-RYS) in Lorentzian para-Kenmotsu n-manifolds (briefly, ( LPK ) n

{(\mathrm{LPK})_{n}}

). We study the curvature condition R . S = 0

{R.S=0}

and the cyclic parallel Ricci tensor in ( LPK ) n

{(\mathrm{LPK})_{n}}

admitting η-RYS. Furthermore, we study M-projectively flat and quasi-M-projectively flat Lorentzian para-Kenmotsu manifolds admitting *

{*}

-η-RYS. Finally, we give two examples of Lorentzian para-Kenmotsu manifolds admitting η-RYS and *

{*}

-η-RYS to verify some of our results.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

洛伦兹副肯莫特流形中的η-里奇-山边和*-η-里奇-山边孤子

本文的主要目的是研究η-里奇-山边孤子（η-RYS）和* {*} -η-Ricci-Yamabe 孤子（* {*} -η-Ricci-Yamabe solitons）。 -η-Ricci-Yamabe 孤子 ( * {*}) -η-RYS）的洛伦兹副肯莫特n-manifolds（简言之，( LPK ) n {(\mathrm{LPK})_{n}} ）。 ).我们研究曲率条件 R . S = 0 {R.S=0} 和 ( LPK ) n {(\mathrm{LPK})_{n}} 中接纳 η-RYS 的循环平行里奇张量。此外，我们还研究了M-投影平坦和准M-投影平坦洛伦兹准肯莫特流形，这些流形接纳* {*}. -η-RYS。最后，我们给出了两个洛伦兹准肯莫特流形接纳η-RYS和* {*} -η-RYS 的例子。 -η-RYS的两个例子来验证我们的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

ANALYSIS PHILOSOPHY-

CiteScore

1.30

自引率

12.50%

发文量

期刊介绍： Analysis is the most established and esteemed forum in which to publish short discussions of topics in philosophy. Articles published in Analysis lend themselves to the presentation of cogent but brief arguments for substantive conclusions, and often give rise to discussions which continue over several interchanges. A wide range of topics are covered including: philosophical logic and philosophy of language, metaphysics, epistemology, philosophy of mind, and moral philosophy.

期刊最新文献

A puzzle about weak belief On the dilemma for partial subjunctive supposition Fragility and strength Alan Author strikes again: more on confirming conjunctions of disconfirmed hypotheses Correction to: Primitive conditional probabilities, subset relations and comparative regularity