MINIMALITY OF THE HOROCYCLE FLOW ON LAMINATIONS BY HYPERBOLIC SURFACES WITH NON-TRIVIAL TOPOLOGY

被引：13

作者：

Alcalde Cuesta, Fernando ^{[1
,2
]}

Dal'Bo, Francoise ^{[3
]}

Martinez, Matilde ^{[4
]}

Verjovsky, Alberto ^{[5
]}

机构：

[1] GeoDynApp ECSING Grp, Madrid, Spain

[2] Univ Santiago de Compostela, Dept Matemat, Rua Lope Gomez de Marzoa, E-15782 Santiago De Compostela, Spain

[3] Univ Rennes 1, Inst Rech Math Rennes, F-35042 Rennes, France

[4] Univ Republica, Fac Ingn, Inst Matemat & Estadst Rafael Laguard, J Herrera y Reissig 565, Montevideo 11300, Uruguay

[5] Univ Nacl Autonoma Mexico, Apartado Postal 273,Admon Correos 3, Cuernavaca 62251, Morelos, Mexico

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 09期

关键词：

Hyperbolic surfaces; geometrically infinite surfaces; horocycle flows; hyperbolic laminations; minimality; FOLIATIONS; LEAVES;

D O I：

10.3934/dcds.2016001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a minimal compact lamination by hyperbolic surfaces. We prove that if no leaf is simply connected, then the horocycle flow on its unitary tangent bundle is minimal.

引用

页码：4619 / 4635

页数：17

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