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- [1] Borisenko A. A.(2001)Isometric immersions of space forms into Riemannian and pseudo-Riemannian spaces of constant curvature Usp. Mat. Nauk 56 3-78
On Isometric Immersion of Three-Dimensional Geometries \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\widetilde{SL}_2$$ \end{document}, Nil, and Sol into a Four-Dimensional Space of Constant Curvature
被引：0
作者：
L. A. Masal'tsev
机构：
[1] Kharkov National University,
关键词：
Hyperbolic Space;
Constant Curvature;
Isometric Immersion;
Analytic Immersion;
D O I：
10.1007/s11253-005-0206-7
中图分类号：
学科分类号：
摘要：
We prove the nonexistence of an isometric immersion of the geometries Nil3 and \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$$\widetilde{SL}_2$$
\end{document} into a four-dimensional space Mc4 of constant curvature c. We establish that the geometry Sol3 cannot be immersed into Mc4 for c ≠ −1 and find the analytic immersion of this geometry into the hyperbolic space H4 (−1).
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页码：509 / 516
页数：7
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