Non-periodic Riemann examples with handles

被引：5
|
作者：
Morabito, Filippo [1 ,2 ]
Traizet, Martin [2 ]
机构：
[1] KIAS Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
[2] Univ Tours, UMR CNRS 6083, Lab Math & Phys Theor, F-37200 Tours, France
来源：
ADVANCES IN MATHEMATICS | 2012年 / 229卷 / 01期
关键词：
Minimal surfaces; Infinitely many planar ends; Desingularization; Noded Riemann surface; MINIMAL-SURFACES; GEOMETRY;
D O I：
10.1016/j.aim.2011.09.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show the existence of I-parameter families of non-periodic, complete, embedded minimal surfaces in Euclidean space with infinitely many parallel planar ends. In particular we are able to produce finite genus examples and quasi-periodic examples of infinite genus. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：26 / 53
页数：28
相关论文
共 50 条
  • [1] Some periodic and non-periodic recursions
    Csörnyei, M
    Laczkovich, M
    MONATSHEFTE FUR MATHEMATIK, 2001, 132 (03): : 215 - 236
  • [2] Some Periodic and Non-Periodic Recursions
    M. Csörnyei
    M. Laczkovich
    Monatshefte für Mathematik, 2001, 132 : 215 - 236
  • [3] NON-PERIODIC SAMPLING AND IDENTIFIABILITY
    DELASEN, M
    DORMIDO, S
    ELECTRONICS LETTERS, 1981, 17 (24) : 922 - 924
  • [4] Understanding Periodic and Non-periodic Chemistry in Periodic Tables
    Cao, Changsu
    Vernon, Rene E.
    Schwarz, W. H. Eugen
    Li, Jun
    FRONTIERS IN CHEMISTRY, 2021, 8
  • [5] Algorithms for processing periodic and non-periodic signals
    C S Jog
    Sādhanā, 48
  • [6] Transition from non-periodic to periodic explosions
    Cartes, Carlos
    Descalzi, Orazio
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2015, 373 (2056):
  • [7] On a Non-periodic Shrinking Generator
    Berzina, Inese
    Bets, Raivis
    Buls, Janis
    Cers, Edmunds
    Kulesa, Liga
    13TH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2011), 2012, : 348 - 354
  • [8] Algorithms for processing periodic and non-periodic signals
    Jog, C. S.
    SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2023, 48 (04):
  • [9] UNIFIED PROCESSING FOR PERIODIC AND NON-PERIODIC SPECIMENS
    KUBLER, O
    JOURNAL DE MICROSCOPIE ET DE SPECTROSCOPIE ELECTRONIQUES, 1980, 5 (05): : 565 - 579
  • [10] Periodic and non-periodic phenomena in a sunspot region
    Tsiropoula, G
    Alissandrakis, CE
    Dialetis, D
    Mein, P
    SOLAR PHYSICS, 1996, 167 (1-2) : 79 - 94
12345