Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-05-13 DOI:10.1007/s10231-024-01464-w

Brian Grajales, Lino Grama

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.

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具有等效各向同性和的紧凑同质空间上的等效向量

在本文中，我们研究了紧凑均质空间（M=G/H.\）上的等距向量。我们引入了一个仅依赖于 M 的各向同性表示和 G 的 Lie 代数的 Lie 结构的等距向量识别公式，并讨论了它在 M 空间中的应用。

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

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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.