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
收藏
页码：65 / 74
页数：10
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