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.
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页码：1037 / 1057
页数：21
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