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.

引用

页码：34 / 44

页数：11

共 50 条

[1] Toward a Theory of Spaces of Constant Curvature
V. S. Dryuma
Theoretical and Mathematical Physics, 2006, 146 : 34 - 44
[2] QUANTIZATION IN SPACES OF CONSTANT CURVATURE
WAN, KK
VIAZMINSKY, C
PROGRESS OF THEORETICAL PHYSICS, 1977, 58 (03): : 1030 - 1044
[3] NONNEGATIVE CURVATURE ON PIECEWISE CONSTANT CURVATURE SPACES
PESZEK, R
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 334 (01) : 303 - 315
[4] Supersymmetry in spaces of constant curvature
McKeon, DGC
Sherry, TN
CANADIAN JOURNAL OF PHYSICS, 2005, 83 (01) : 23 - 46
[5] ON DYNAMICS IN CONSTANT CURVATURE SPACES
KOZLOV, VV
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1994, (02): : 28 - 35
[6] A THEOREM ON SPACES OF CONSTANT CURVATURE
FULTON, CM
AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (05): : 565 - &
[7] HYPERSPHERES IN SPACES OF CONSTANT CURVATURE
FULTON, CM
AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (01): : 43 - &
[8] SIMPLEXES IN SPACES OF CONSTANT CURVATURE
DEKSTER, BV
WILKER, JB
GEOMETRIAE DEDICATA, 1991, 38 (01) : 1 - 12
[9] ON CURVATURE CHARACTERIZATIONS OF SOME HYPERSURFACES IN SPACES OF CONSTANT CURVATURE
Sawicz, Katarzyna
PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2006, 79 (93): : 95 - 107
[10] SURFACES OF NONPOSITIVE EXTRINSIC CURVATURE IN SPACES OF CONSTANT CURVATURE
BORISENKO, AA
MATHEMATICS OF THE USSR-SBORNIK, 1981, 114 (03): : 297 - 310

← 1 2 3 4 5 →