Normal forms of two-dimensional metrics admitting exactly one essential projective vector field

被引：5

作者：

Manno, Gianni ^{[1
]}

Vollmer, Andreas ^{[2
,3
]}

机构：

[1] Politecn Torino, Dipartimento Sci Matemat DISMA, Corso Duca Abruzzi 24, I-10129 Turin, Italy

[2] Politecn Torino, Ist Nazl Alta Matemat DISMA, Corso Duca Abruzzi 24, I-10129 Turin, Italy

[3] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2020年 / 135卷

关键词：

Projective connections; Projective symmetries; Projectively equivalent metrics; Lie problem; EQUIVALENCE; INTEGRALS; EQUATIONS; SYSTEMS; TENSORS;

D O I：

10.1016/j.matpur.2020.01.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a complete list of mutually non-diffeomorphic normal forms for the two-dimensional metrics that admit one essential (i.e., non-homothetic) projective vector field. This revises some results in [28] and extends the results of [10,28], solving a problem posed by Lie (1882) [21]. (C) 2020 Elsevier Masson SAS. All rights reserved.

引用

页码：26 / 82

页数：57

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