The Curved N-Body Problem: Risks and Rewards

被引：13

作者：

Diacu, Florin ^{[1
,2
]}

机构：

[1] Univ Victoria, Pacific Inst Math Sci, Victoria, BC V8W 3R4, Canada

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

来源：

关键词：

CONSTANT CURVATURE; HOMOGRAPHIC SOLUTIONS; INTRINSIC APPROACH; EUCLIDEAN NATURE; GAUSS EXPERIMENT; SPACES; CONJECTURE; MYTH;

D O I：

10.1007/s00283-013-9397-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：24 / 33

页数：10

共 35 条

[1] Abraham R., 1978, Foundations of Mechanics
[2] [Anonymous], 1913, GEOMETRISCHE UNTERSU
[3] [Anonymous], BERICHTE KONIGL S MP
[4] [Anonymous], BERICHTE KONIGL S MP
[5] [Anonymous], 1872, J. Reine Angew. Math.
[6] Bertrand J., 1873, C. R. Acad. Sci, V77, P849
[7] Central potentials on spaces of constant curvature:: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2 -: art. no. 052702
Cariñena, JF
Rañada, MF
Santander, M
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (05)
[8] Saari's conjecture for the collinear n-body problem
Diacu, F
Perez-Chavela, E
Santoprete, M
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (10) : 4215 - 4223
[9] Diacu F., ARXIV13025352
[10] Diacu F., PHYSICA D IN PRESS