The Mobius invariants for circle packings

被引：0
|
作者：
Lan, Shi-Yi [1 ]
Nong, Li-Juan [2 ]
机构：
[1] Guangxi Univ Nationalities, Coll Sci, Nanning, Peoples R China
[2] Guilin Univ Technol, Coll Sci, Guilin, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2016年 / 61卷 / 10期
关键词：
Triangulation; circle packing; Mobius invariant; 65N10; 65N30; 52C15; 30G62; C-INFINITY-CONVERGENCE; BELTRAMI EQUATIONS;
D O I：
10.1080/17476933.2016.1179291
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Mobius invariants of general circle packings are defined in terms of cross ratios. The necessary and sufficient conditions of existence of circle packings are established by the techniques of Mobius invariants. It is shown that circle packings are uniquely determined, up to Mobius transformations, by their Mobius invariants. The rigidity of infinite circle packings with bounded degree is proved using the approach of Mobius invariants.
引用
收藏
页码：1409 / 1417
页数：9
相关论文
共 50 条
  • [1] KLEINIAN CIRCLE PACKINGS
    PARKER, JR
    [J]. TOPOLOGY, 1995, 34 (03) : 489 - 496
  • [2] Earthquakes and circle packings
    Williams, GB
    [J]. JOURNAL D ANALYSE MATHEMATIQUE, 2001, 85 (1): : 371 - 396
  • [3] Apollonian Circle Packings
    Pollicott, Mark
    [J]. FRACTAL GEOMETRY AND STOCHASTICS V, 2015, 70 : 121 - 142
  • [4] Earthquakes and circle packings
    G. Brock Williams
    [J]. Journal d’Analyse Mathématique, 2001, 85 : 371 - 396
  • [5] Mobius Invariants of Shapes and Images
    Marsland, Stephen
    Mclachlan, Robert I.
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2016, 12
  • [6] Conjugacy invariants of Mobius groups
    Cao, C
    Waterman, PL
    [J]. QUASICONFORMAL MAPPINGS AND ANALYSIS: A COLLECTION OF PAPERS HONORING F.W. GEHRING, 1998, : 109 - 139
  • [7] MOBIUS INVARIANTS IN IMAGE RECOGNITION
    Nadiia, Konovenko
    Valentin, Lychagin
    [J]. JOURNAL OF GEOMETRIC MECHANICS, 2017, 9 (02): : 191 - 206
  • [8] CIRCLE PACKINGS IN DIFFERENT GEOMETRIES
    BEARDON, AF
    STEPHENSON, K
    [J]. TOHOKU MATHEMATICAL JOURNAL, 1991, 43 (01) : 27 - 36
  • [9] CIRCLE PACKINGS AND POLYHEDRAL SURFACES
    GARRETT, BT
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 1992, 8 (04) : 429 - 440
  • [10] Circle packings and combinatorial moduli
    Haissinsky, Peter
    [J]. ANNALES DE L INSTITUT FOURIER, 2009, 59 (06) : 2175 - 2222
12345