Riemann Extensions of Torsion-Free Connections with Degenerate Ricci Tensor

被引：15

作者：

Calvino-Louzao, E. ^{[1
]}

Garcia-Rio, E. ^{[1
]}

Vazquez-Lorenzo, R. ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Fac Math, Dept Geometry & Topol, Santiago De Compostela, Spain

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2010年 / 62卷 / 05期

关键词：

Walker metric; Riemann extension; curvature operator; projectively flat and recurrent affine connection; SYMMETRIC CURVATURE OPERATOR; HOMOGENEOUS AFFINE CONNECTIONS; 2-DIMENSIONAL MANIFOLDS; CONSTANT EIGENVALUES; CLASSIFICATION; METRICS;

D O I：

10.4153/CJM-2010-059-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Correspondence between torsion-free connections with nilpotent skew-symmetric curvature operator and IP Riemann extensions is shown. Some consequences are derived in the study of four-dimensional IP metrics and locally homogeneous affine surfaces.

引用

页码：1037 / 1057

页数：21

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