Pseudo-Conformal actions of the Möbius group

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2023-10-11 DOI:10.1016/j.difgeo.2023.102070

M. Belraouti , M. Deffaf , Y. Raffed , A. Zeghib

引用次数: 1

Abstract

We study compact connected pseudo-Riemannian manifolds $(M, g)$ on which the conformal group $Conf (M, g)$ acts essentially and transitively. We prove, in particular, that if the non-compact semi-simple part of $Conf (M, g)$ is the Möbius group, then $(M, g)$ is conformally flat.

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Möbius基团的伪共形作用

我们研究了保角群Conf（M，g）本质上和传递作用于其上的紧连通伪黎曼流形（M，g）。我们特别证明，如果Conf（M，g）的非紧半单部分是Möbius群，则（M，g）是保形平坦的。

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

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.