Homotopy hyperbolic 3-manifolds are hyperbolic

被引：60
作者：
Gabai, D
Meyerhoff, GR
Thurston, N
机构：
[1] CALTECH, Pasadena, CA 91125 USA
[2] Boston Coll, Chestnut Hill, MA 02167 USA
[3] Predict Networks, Cambridge, MA USA
来源：
ANNALS OF MATHEMATICS | 2003年 / 157卷 / 02期
关键词：
D O I：
10.4007/annals.2003.157.335
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
[No abstract available]
引用
收藏
页码：335 / 431
页数：97
相关论文
共 27 条
[1]   Volume change under drilling [J].
Agol, Ian .
GEOMETRY & TOPOLOGY, 2002, 6 :905-916
[2]  
*ANSI IEEE, 1985, 7541985 ANSIIEEE
[3]  
Beardon A.F., 1983, GRAD TEXTS MATH, V91
[4]  
BERGE J, HEEGAARD PROGRAM UND
[5]   A census of cusped hyperbolic 3-manifolds [J].
Callahan, PJ ;
Hildebrand, MV ;
Weeks, JR .
MATHEMATICS OF COMPUTATION, 1999, 68 (225) :321-332
[6]   Computing arithmetic invariants of 3-manifolds [J].
Coulson, D ;
Goodman, OA ;
Hodgson, CD ;
Neumann, WD .
EXPERIMENTAL MATHEMATICS, 2000, 9 (01) :127-152
[7]   VARIETIES OF GROUP-REPRESENTATIONS AND SPLITTINGS OF 3-MANIFOLDS [J].
CULLER, M ;
SHALEN, PB .
ANNALS OF MATHEMATICS, 1983, 117 (01) :109-146
[8]  
DEFIGUEIREDO LH, 1997, BRAZ MATH COLL MON I
[9]  
Fenchel W., 1989, Elementary Geometry in Hyperbolic Space, V11
[10]   On the geometric and topological rigidity of hyperbolic 3-manifolds [J].
Gabai, D .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 10 (01) :37-74
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