Toward a theory of spaces of constant curvature

被引：2
|
作者：
Dryuma, VS [1 ]
机构：
[1] Moldavian Acad Sci, Inst Math & Informat, Kishinev 277028, Moldova
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2006年 / 146卷 / 01期
关键词：
Riemann extension; spaces of constant curvature; Korteveg-de Vries equation;
D O I：
10.1007/s11232-006-0004-x
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct some examples of three-dimensional metrics of constant curvature defined by the solutions of nonlinear integrable differential equations and their generalizations and study the properties of Riemann extensions of the metrics of constant curvature. We discuss the connection with the theory of normal Riemannian spaces.
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页码：34 / 44
页数：11
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