Ricci flat 4-metrics with bidimensional null orbits - Part I. General aspects and nonabelian case

被引：4
|
作者：
Ferraioli, D. Catalano
Vinogradov, A. M.
机构：
[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy
[2] Univ Salerno, Dipartimento Matemat & Informat, I-84084 Fisciano, SA, Italy
来源：
ACTA APPLICANDAE MATHEMATICAE | 2006年 / 92卷 / 03期
关键词：
Einstein metrics; Ricci flat metrics; Killing algebra; null orbits; Kleinian metrics; Lorentzian metrics;
D O I：
10.1007/s10440-006-9022-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Pseudo-Riemannian 4-metrics with bidimensional null Killing orbits are studied. Both Lorentzian and Kleinian (or neutral) cases, are treated simultaneously. Under the assumption that the distribution orthogonal to the orbits is completely integrable a complete exact description of Ricci flat metrics admitting a bidimensional nonabelian Killing algebra is found.
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页码：209 / 225
页数：17
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