Generalized Ricci solitons associated to perturbed canonical connection and perturbed Kobayashi–Nomizu connection on three-dimensional Lorentzian Lie groups
{"title":"Generalized Ricci solitons associated to perturbed canonical connection and perturbed Kobayashi–Nomizu connection on three-dimensional Lorentzian Lie groups","authors":"Shahroud Azami","doi":"10.1007/s13370-024-01184-7","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we focus on affine generalized Ricci solitons with respect to the perturbed canonical connection and the perturbed Kobayashi–Nomizu connection on three-dimensional Lorentzian Lie groups and we find the detailed classification of these affine generalized Ricci solitons with product structure on three-dimensional Lorentzian Lie groups.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01184-7.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-024-01184-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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Abstract
In this paper, we focus on affine generalized Ricci solitons with respect to the perturbed canonical connection and the perturbed Kobayashi–Nomizu connection on three-dimensional Lorentzian Lie groups and we find the detailed classification of these affine generalized Ricci solitons with product structure on three-dimensional Lorentzian Lie groups.