Local degeneracy of pseudo-Riemannian conformal transformations

被引：5

作者：

Frances, Charles ^{[1
]}

机构：

[1] Univ Paris 11, Math Lab, F-91405 Orsay, France

来源：

ANNALES DE L INSTITUT FOURIER | 2012年 / 62卷 / 05期

关键词：

GEODESIC FOLIATIONS; LORENTZ MANIFOLDS; ISOMETRY GROUPS;

D O I：

10.5802/aif.2732

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the set Conf (M, N) of conformal immersions between two pseudo-Riemannian manifolds (M, g) and (N, h). We characterize the closure of Conf (M, N) in the space of continuous maps from M to N, and we investigate the geometric properties of (M, g) whenever this closure is nontrivial.

引用

页码：1627 / 1669

页数：43

共 50 条

[1] CONFORMAL TRANSFORMATIONS OF PSEUDO-RIEMANNIAN SYMMETRICAL SPACES
CAHEN, M
KERBRAT, Y
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 285 (05): : 383 - 385
[2] Conformal transformations of the pseudo-Riemannian metric of a homogeneous pair
Kawai, Kotaro
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 103 (02): : 516 - 557
[3] INFLUENCE OF STRATIFICATION ON THE GROUPS OF CONFORMAL TRANSFORMATIONS OF PSEUDO-RIEMANNIAN ORBIFOLDS
Zhukova, N., I
[J]. UFA MATHEMATICAL JOURNAL, 2018, 10 (02): : 44 - 57
[4] TRANSFORMATIONS OF PSEUDO-RIEMANNIAN MANIFOLDS
TANNO, S
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1969, 21 (02) : 270 - +
[5] CONFORMAL FORM OF PSEUDO-RIEMANNIAN METRICS BY NORMAL COORDINATE TRANSFORMATIONS II
De Siqueira, Antonio
[J]. PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON GEOMETRY, INTEGRABILITY AND QUANTIZATION, 2013, : 176 - 200
[6] Projective Transformations of Pseudo-Riemannian Manifolds
A. V. Aminova
[J]. Journal of Mathematical Sciences, 2003, 113 (3) : 367 - 470
[7] On Local Structure of Pseudo-Riemannian Poisson Manifolds and Pseudo-Riemannian Lie Algebras
Chen, Zhiqi
Zhu, Fuhai
[J]. JOURNAL OF LIE THEORY, 2012, 22 (03) : 757 - 767
[8] Conformal vector fields on pseudo-Riemannian spaces
Kuhnel, W
Rademacher, HB
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 1997, 7 (03) : 237 - 250
[9] ESSENTIAL CONFORMAL FIELDS IN PSEUDO-RIEMANNIAN GEOMETRY
KUHNEL, W
RADEMACHER, HB
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1995, 74 (05): : 453 - 481
[10] CLOSED CONFORMAL VECTORS OF A PSEUDO-RIEMANNIAN VARIETY
VIGNON, B
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1973, 276 (26): : 1689 - 1691

← 1 2 3 4 5 →