AXIAL DISTANCES IN DISCRETE MOBIUS GROUPS

被引：8

作者：

GEHRING, FW ^{[1
]}

MARTIN, GJ ^{[1
]}

机构：

[1] UNIV AUCKLAND,DEPT MATH,AUCKLAND,NEW ZEALAND

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1992年 / 89卷 / 06期

关键词：

D O I：

10.1073/pnas.89.6.1999

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We describe here new lower bounds for the trace of the commutator of a discrete two-generator group of Mobius transformations. These results lead to sharp estimates for the distance between the axes of elliptics in a discrete group and hence to new bounds for the volume of hyperbolic manifolds and orbifolds that will be discussed elsewhere.

引用

页码：1999 / 2001

页数：3

共 50 条

[1] DISCRETE GROUPS OF MOBIUS TRANSFORMATIONS
JORGENSEN, T
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1976, 98 (03) : 739 - 749
[2] Inequalities for Discrete Mobius Groups in Infinite Dimension
Fu, Xi
[J]. JOURNAL OF COMPLEX ANALYSIS, 2013,
[3] INEQUALITIES FOR MOBIUS TRANSFORMATIONS AND DISCRETE-GROUPS
GEHRING, FW
MARTIN, GJ
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1991, 418 : 31 - 76
[4] A note on roots of Mobius transformations in discrete groups
Ito, Manabu
[J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2021, 64 (03): : 217 - 229
[5] THE LIMIT MAP OF A HOMOMORPHISM OF DISCRETE MOBIUS GROUPS
Tukia, Pekka
[J]. PUBLICATIONS MATHEMATIQUES, 1995, (82): : 97 - 132
[6] The chordal norm of discrete Mobius groups in several dimensions
Cao, C
[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1996, 21 (02): : 271 - 287
[7] Some trace inequalities for discrete groups of Mobius transformations
Cao, C
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (12) : 3807 - 3815
[8] Some remarks on non-discrete Mobius groups
Beardon, AF
[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1996, 21 (01): : 69 - 79
[9] The spectrum of elliptic axial distances in Kleinian groups
Gehring, FW
Marshall, TH
Martin, GJ
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1998, 47 (01) : 1 - 10
[10] ON 2-GENERATOR DISCRETE-GROUPS OF MOBIUS TRANSFORMATIONS
TAN, D
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (03) : 763 - 770

← 1 2 3 4 5 →