{"title":"Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands","authors":"Brian Grajales, Lino Grama","doi":"10.1007/s10231-024-01464-w","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we investigate equigeodesics on a compact homogeneous space <span>\\(M=G/H.\\)</span> We introduce a formula for the identification of equigeodesic vectors only relying on the isotropy representation of <i>M</i> and the Lie structure of the Lie algebra of <i>G</i>. Applications to <i>M</i>-spaces are also discussed.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01464-w.pdf","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/s10231-024-01464-w","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 investigate equigeodesics on a compact homogeneous space \(M=G/H.\) We introduce a formula for the identification of equigeodesic vectors only relying on the isotropy representation of M and the Lie structure of the Lie algebra of G. Applications to M-spaces are also discussed.
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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