论文标题

几乎可以解决的3D谎言基团上的几乎riemannian结构

Almost-Riemannian Structures on nonnilpotent, solvable 3D Lie groups

论文作者

Ayala, Victor, Hernández, Danilo A. García, Da Silva, Adriano

论文摘要

在本文中,我们研究了几乎可以解决的,可解决的3D谎言基团的几乎 - 里曼结构(ARS)。这样的组中存在的良好结构使我们能够证明此类组上ARS的奇异轨迹始终是嵌入式的子手机。

In this paper we study Almost-Riemannian Structures (ARS) on the class of nonnilpotent, solvable, conneted 3D Lie groups. The nice structures present in such groups allow us to show that the singular locus of ARSs on such groups are always embedded submanifolds.

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