On distinguished local coordinates for locally homogeneous affine surfaces

被引：0

作者：

Brozos-Vazquez, M. ^{[1
]}

Garcia-Rio, E. ^{[2
]}

Gilkey, P. ^{[3
]}

机构：

[1] Univ A Coruna, Differential Geometry & Its Applicat Res Grp, Escola Politecn Super, Ferrol 15403, Spain

[2] Univ Santiago de Compostela, Fac Math, Santiago De Compostela 15782, Spain

[3] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

MONATSHEFTE FUR MATHEMATIK | 2020年 / 192卷 / 01期

关键词：

Affine surface; Locally homogeneous; Local forms; Affine Killing equations; SYMMETRIC RICCI TENSOR; CONNECTIONS; CLASSIFICATION; MANIFOLDS;

D O I：

10.1007/s00605-020-01382-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new short self-contained proof of the result of Opozda (Differ Geom Appl 21:173-198, 2004) classifying the locally homogeneous torsion free affine surfaces and the extension to the case of surfaces with torsion due to Arias-Marco and Kowalski (Monatsh Math 153:1-18, 2008). Our approach rests on a direct analysis of the affine Killing equations and is quite different than the approaches taken previously in the literature.

引用

页码：65 / 74

页数：10

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