Conformal vector fields on pseudo-Riemannian spaces

被引：57

作者：

Kuhnel, W

Rademacher, HB

机构：

[1] UNIV LEIPZIG,INST MATH,D-04109 LEIPZIG,GERMANY

[2] UNIV STUTTGART,INST MATH B,D-70550 STUTTGART,GERMANY

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1997年 / 7卷 / 03期

关键词：

warped product; conformal gradient field; Einstein spaces; constant scalar curvature;

D O I：

10.1016/S0926-2245(96)00052-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study conformal Vector fields on pseudo-Riemannian manifolds, in particular on Einstein spaces and on spaces of constant scalar curvature. A global classification theorem for conformal vector fields is obtained which are locally gradient fields. This includes the case of a positive metric as well as the case of an indefinite metric.

引用

页码：237 / 250

页数：14

共 50 条

[21] Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds I
Gomez-Lobo, Alfonso Garcia-Parrado
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (07) : 1069 - 1095
[22] RECURRENCY OF A CLASS OF PSEUDO-RIEMANNIAN SPACES
COLLINSON, CD
SOLER, F
[J]. TENSOR, 1976, 30 (01): : 87 - 88
[23] Canonical Deformations of Pseudo-Riemannian Spaces
Vashpanova, N.
Podousova, T.
Fedchenko, Ju
[J]. APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES, 2019, 2164
[24] 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
[25] Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds II
Garcia-Parrado Gomez-Lobo, Alfonso
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (09) : 1600 - 1622
[26] Naturally reductive pseudo-Riemannian spaces
Ovando, Gabriela P.
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2011, 61 (01) : 157 - 171
[27] WAVE FIELDS IN WEYL SPACES AND CONDITIONS FOR THE EXISTENCE OF A PREFERRED PSEUDO-RIEMANNIAN STRUCTURE
AUDRETSCH, J
GAHLER, F
STRAUMANN, N
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 95 (01) : 41 - 51
[28] CONFORM TRANSFORMATIONS OF PSEUDO-RIEMANNIAN SYMMETRICAL SPACES
CAHEN, M
KERBRAT, Y
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1982, 132 : 275 - 289
[29] On the geometry of flat pseudo-Riemannian homogeneous spaces
Wolfgang Globke
[J]. Israel Journal of Mathematics, 2014, 202 : 255 - 274
[30] Convex cocompactness in pseudo-Riemannian hyperbolic spaces
Jeffrey Danciger
François Guéritaud
Fanny Kassel
[J]. Geometriae Dedicata, 2018, 192 : 87 - 126

← 1 2 3 4 5 →