CONTINUOUS GEODESIC FOLIATIONS OF HYPERBOLIC MANIFOLDS

被引：25

|

作者：

ZEGHIB, A

机构：

来源：

INVENTIONES MATHEMATICAE | 1993年 / 114卷 / 01期

关键词：

D O I：

10.1007/BF01232666

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a compact hyperbolic 3-manifold does not possess a C0 foliation, with geodesic leaves.

引用

收藏

页码：193 / 206

页数：14

相关论文

共 50 条

[1] CALIBRATED GEODESIC FOLIATIONS OF HYPERBOLIC SPACE
Godoy, Yamile
Salvai, Marcos
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (01) : 359 - 367
[2] Geodesic foliations of locally symmetric manifolds
Zeghib, A
TOPOLOGY, 1997, 36 (04) : 805 - 828
[3] Global smooth geodesic foliations of the hyperbolic space
Yamile Godoy
Marcos Salvai
Mathematische Zeitschrift, 2015, 281 : 43 - 54
[4] Global smooth geodesic foliations of the hyperbolic space
Godoy, Yamile
Salvai, Marcos
MATHEMATISCHE ZEITSCHRIFT, 2015, 281 (1-2) : 43 - 54
[5] Geodesic foliations in Lorentz 3-manifolds
Zeghib, A
COMMENTARII MATHEMATICI HELVETICI, 1999, 74 (01) : 1 - 21
[6] TOTALLY GEODESIC FOLIATIONS ON 3-MANIFOLDS
JOHNSON, DL
WHITT, LB
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 76 (02) : 355 - 357
[7] TOTALLY GEODESIC FOLIATIONS ON 4-MANIFOLDS
CAIRNS, G
GHYS, E
JOURNAL OF DIFFERENTIAL GEOMETRY, 1986, 23 (03) : 241 - 254
[8] RIEMANNIAN FOLIATIONS ON COMPACT HYPERBOLIC MANIFOLDS
KIM, H
WALSCHAP, G
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1992, 41 (01) : 37 - 42
[9] Commensurability of Hyperbolic Manifolds with Geodesic Boundary
Roberto Frigerio
Geometriae Dedicata, 2006, 118 : 105 - 131
[10] Transverse geodesic cycles in hyperbolic manifolds
Bergeron, N
GEOMETRIC AND FUNCTIONAL ANALYSIS, 2002, 12 (03) : 437 - 463

← 1 2 3 4 5 →