On a problem of Osserman in Lorentzian geometry

被引：38
|
作者：
GarciaRio, E
Kupeli, DN
VazquezAbal, ME
机构：
[1] UNIV SANTIAGO DE COMPOSTELA,DEPT ANALISE MATEMAT,E-15706 SANTIAGO COMPOSTE,SPAIN
[2] MIDDLE E TECH UNIV,DEPT MATH,TR-06531 ANKARA,TURKEY
[3] UNIV SANTIAGO DE COMPOSTELA,DEPT XEOMETRIA & TOPOLOXIA,E-15706 SANTIAGO COMPOSTE,SPAIN
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1997年 / 7卷 / 01期
关键词：
Osserman conjecture; Lorentz manifold; Jacobi operator; infinitesimal isotropy; warped product;
D O I：
10.1016/S0926-2245(96)00037-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A problem of Osserman on the constancy of the eigenvalues of the Jacobi operator is studied in Lorentzian geometry. Attention is paid to the different cases of timelike, spacelike and null Osserman condition. One also shows a relation between the null Osserman condition and a previous one on infinitesimal null isotropy.
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页码：85 / 100
页数：16
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