{"title":"\\(\\overline{Q}'\\)-curvature flow on pseudo-Einstein CR manifolds","authors":"Ali Maalaoui, Vittorio Martino","doi":"10.1007/s10231-024-01425-3","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we consider the problem of prescribing the <span>\\(\\overline{Q}'\\)</span>-curvature on three-dimensional pseudo-Einstein CR manifolds. We study the gradient flow generated by the related functional, and we will prove its convergence to a limit function under suitable assumptions.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali di Matematica Pura ed Applicata","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10231-024-01425-3","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we consider the problem of prescribing the \(\overline{Q}'\)-curvature on three-dimensional pseudo-Einstein CR manifolds. We study the gradient flow generated by the related functional, and we will prove its convergence to a limit function under suitable assumptions.
期刊介绍：
This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it).
A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.
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