Three-dimensional Lorentzian manifolds with constant principal Ricci curvatures rho(1)=rho(2)not equal rho(3)

被引：17

作者：

Bueken, P ^{[1
]}

机构：

[1] KATHOLIEKE UNIV LEUVEN,DEPT MATH,B-3001 HEVERLEE,LEUVEN,BELGIUM

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1997年 / 38卷 / 02期

关键词：

D O I：

10.1063/1.531880

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The aim of this paper is the study of (nonhomogeneous) three-dimensional Lorentzian manifolds whose Ricci curvature tensor is diagonalizable with two distinct constant eigenvalues. Two mistakes in a recent paper by D. McManus [J. Math. Phys. 36, 362-369 (1995)] are pointed out and corrected, and a complete (local) classification of the nonhomogeneous manifolds of this type is given, thereby generalizing some results of O. Kowalski [Nagoya Math. J. 132, 1-36 (1993)] to the framework of Lorentzian geometry. (C) 1997 American Institute of Physics.

引用

页码：1000 / 1013

页数：14

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