On the duality principle in pseudo-Riemannian Osserman manifolds

被引：12

作者：

Andrejic, V. ^{[1
]}

Rakic, Z. ^{[1
]}

机构：

[1] Univ Belgrade, Fac Math, Belgrade 11001, Serbia

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2007年 / 57卷 / 10期

关键词：

pseudo-Riemannian manifold; Jacobi operator; pointwise Osserman manifold; Osserman algebraic curvature tensor; duality principle;

D O I：

10.1016/j.geomphys.2007.06.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we give a natural extension of the duality principle for the curvature tensor of pointwise pseudo-Riemannian Osserman manifolds. We proved that this extended duality principle holds under certain additional assumptions. Also, it is proved that duality principle holds for every four-dimensional Osserman manifold. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：2158 / 2166

页数：9

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