A note on the structure of algebraic curvature tensors

被引：7

作者：

Díaz-Ramos, JC ^{[1
]}

García-Río, E ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Fac Math, Dept Geometry & Topol, Santiago De Compostela 15782, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 382卷

关键词：

algebraic curvature tensor; normal coordinates; Nash embedding theorem;

D O I：

10.1016/S0024-3795(04)00049-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that any algebraic curvature tensor on an n-dimensional vector space can be represented by at most n(n+1)/2 symmetric bilinear forms. (C) 2004 Elsevier Inc. All rights reserved.

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页码：271 / 277

页数：7

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