Complete locally conformally flat manifolds of negative curvature

被引：24

作者：

Brozos-Vazquez, Miguel ^{[1
]}

Garcia-Rio, Eduardo ^{[1
]}

Vazquez-Lorenzo, Ramon ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2006年 / 226卷 / 02期

关键词：

locally conformally flat; warped product metric; Mobius equation; Obata equation;

D O I：

10.2140/pjm.2006.226.201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct new examples of complete locally conformally flat manifolds of negative curvature by means of warped product and multiply warped product structures. Special attention is paid to those spaces with one-dimensional base, thus generalizing the Robertson - Walker spacetimes, and to those with higher-dimensional base of constant curvature.

引用

页码：201 / 219

页数：19

共 23 条

[1] Warped products with special Riemannian curvature
Bertola, M
Gouthier, D
[J]. BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA, 2001, 32 (01): : 45 - 62
[2] MANIFOLDS OF NEGATIVE CURVATURE
BISHOP, RL
ONEILL, B
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 145 : 1 - &
[3] Bivens I., 1981, LECT NOTES MATH, V838, P243
[4] Some remarks on locally conformally flat static space-times -: art. no. 022501
Brozos-Vázquez, M
García-Río, E
Vázquez-Lorenzo, R
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (02)
[5] CARRON G, 2004, MATHDG0410180
[6] Compact locally conformally flat Riemannian manifolds
Cheng, QM
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2001, 33 : 459 - 465
[7] Garcia-Rio E., 1999, MATH ITS APPL, V475
[8] KUHNEL W, 1988, ASPECTS MATH E, V12
[9] ON CONFORMALLY-FLAT SPACES IN THE LARGE
KUIPER, NH
[J]. ANNALS OF MATHEMATICS, 1949, 50 (04) : 916 - 924
[10] LAFONTAINE J, 1988, ASPECTS MATH E, V12

← 1 2 3 →