MINIMUM VOLUME CUSPED HYPERBOLIC THREE-MANIFOLDS

被引:75
作者
Gabai, David [1 ]
Meyerhoff, Robert [2 ]
Milley, Peter [3 ]
机构
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[2] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA
[3] Univ Melbourne, Dept Math & Stat, Melbourne, Vic, Australia
基金
澳大利亚研究理事会; 英国工程与自然科学研究理事会;
关键词
D O I
10.1090/S0894-0347-09-00639-0
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:1157 / 1215
页数:59
相关论文
共 20 条
[2]   Lower bounds on volumes of hyperbolic Haken 3-manifolds [J].
Agol, Ian ;
Storm, Peter A. ;
Thurston, William P. .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 20 (04) :1053-1077
[3]   Dehn surgery, homology and hyperbolic volume [J].
Agol, Ian ;
Culler, Marc ;
Shalen, Peter B. .
ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2006, 6 :2295-2310
[4]   Volume change under drilling [J].
Agol, Ian .
GEOMETRY & TOPOLOGY, 2002, 6 :905-916
[5]  
Betley S., 1986, KOBE J MATH, V3, P117
[6]   The orientable cusped hyperbolic 3-manifolds of minimum volume [J].
Cao, C ;
Meyerhoff, GR .
INVENTIONES MATHEMATICAE, 2001, 146 (03) :451-478
[7]  
FENCHEL W, 1989, GRUYTER STUDIES MATH, V11
[8]  
Futer D, 2008, J DIFFER GEOM, V78, P429
[9]   Homotopy hyperbolic 3-manifolds are hyperbolic [J].
Gabai, D ;
Meyerhoff, GR ;
Thurston, N .
ANNALS OF MATHEMATICS, 2003, 157 (02) :335-431
[10]  
Gabai D, 2001, J DIFFER GEOM, V57, P23