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

IF 17.7 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-03-26 DOI:10.1515/anly-2023-0039

Rajendra Prasad, A. Haseeb, Vinay Kumar

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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.

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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。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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