Length multiplicities of hyperbolic 3-manifolds

被引:4
作者
Masters, JD [1 ]
机构
[1] Univ Texas, Dept Math, Austin, TX 78712 USA
关键词
Conjugacy Class; Algebraic Representation; Kleinian Group; Trace Class; Length Spectrum;
D O I
10.1007/BF02810661
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let M = H-3/Gamma be a hyperbolic 3-manifold, where Gamma is a non-elementary Kleinian group. It is shown that the length spectrum of M is of unbounded multiplicity.
引用
收藏
页码:9 / 28
页数:20
相关论文
共 38 条
[21]   Homology cobordism and the geometry of hyperbolic three-manifolds [J].
Lin, Francesco .
ADVANCES IN MATHEMATICS, 2025, 462
[22]   Wave Decay on Convex Co-Compact Hyperbolic Manifolds [J].
Guillarmou, Colin ;
Naud, Frederic .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 287 (02) :489-511
[23]   Some curious Kleinian groups and hyperbolic 5-manifolds [J].
I. Belegradek .
Transformation Groups, 1997, 2 (1) :3-29
[24]   Correlations of Length Spectra for Negatively Curved Manifolds [J].
Mark Pollicott ;
Richard Sharp .
Communications in Mathematical Physics, 2013, 319 :515-533
[25]   The Manhattan curve and the correlation of length spectra on hyperbolic surfaces [J].
Sharp, R .
MATHEMATISCHE ZEITSCHRIFT, 1998, 228 (04) :745-750
[26]   The Manhattan curve and the correlation of length spectra on hyperbolic surfaces [J].
Richard Sharp .
Mathematische Zeitschrift, 1998, 228 :745-750
[27]   Length spectra and p-spectra of compact flat manifolds [J].
R. J. Miatello ;
J. P. Rossetti .
The Journal of Geometric Analysis, 2003, 13 (4) :631-657
[28]   Horospheric frame flow on three-dimensional hyperbolic manifolds and spectrum of Kleinian groups [J].
Ferte, D .
BULLETIN BRAZILIAN MATHEMATICAL SOCIETY, 2002, 33 (01) :99-123
[29]   On a multiplicity one property for the length spectra of even dimensional compact hyperbolic spaces [J].
Bhagwat, Chandrasheel ;
Rajan, C. S. .
JOURNAL OF NUMBER THEORY, 2011, 131 (11) :2239-2244
[30]   COMPARISONS OF LAPLACE SPECTRA, LENGTH SPECTRA AND GEODESIC FLOWS OF SOME RIEMANNIAN MANIFOLDS [J].
Gordon, Carolyn ;
Mao, Yiping .
MATHEMATICAL RESEARCH LETTERS, 1994, 1 (06) :677-688