The weak mixing property on negatively curved manifolds

被引：0

作者：

Coudene, Yves ^{[1
]}

机构：

[1] Sorbonne Univ, LPSM, 4 Pl Jussieu, F-75005 Paris, France

来源：

NONLINEARITY | 2024年 / 37卷 / 05期

关键词：

ergodic theory; geodesic flow; Gibbs measure; GIBBS MEASURES;

D O I：

10.1088/1361-6544/ad39a0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a complete manifold of negative curvature, we show that weak mixing is a generic property in the set of all probability measures invariant by the geodesic flow, as soon as the flow is topologically weakly mixing in restriction to its non-wandering set.

引用

页数：6

共 50 条

[21] HARMONIC MAPPINGS OF NEGATIVELY CURVED MANIFOLDS
HAREL, Z
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (01): : A173 - A173
[22] On holomorphic functions on negatively curved manifolds
Marijan Marković
Monatshefte für Mathematik, 2021, 196 : 851 - 860
[23] HARMONIC MAPPINGS OF NEGATIVELY CURVED MANIFOLDS
HAREL, Z
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1978, 30 (03): : 631 - 637
[24] POINCARE SERIES AND NEGATIVELY CURVED MANIFOLDS
CHEN, SS
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1979, 305 : 78 - 81
[25] FAMILIES OF NEGATIVELY CURVED HERMITIAN MANIFOLDS
COWEN, MJ
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 39 (02) : 362 - 366
[26] Gibbs Measures on Negatively Curved Manifolds
Yves Coudene
Journal of Dynamical and Control Systems, 2003, 9 : 89 - 101
[27] THE CONSTRUCTION OF NEGATIVELY RICCI CURVED MANIFOLDS
GAO, LZ
MATHEMATISCHE ANNALEN, 1985, 271 (02) : 185 - 208
[28] On holomorphic functions on negatively curved manifolds
Markovic, Marijan
MONATSHEFTE FUR MATHEMATIK, 2021, 196 (04): : 851 - 860
[29] Compact Kahler manifolds homotopic to negatively curved Riemannian manifolds
Chen, Bing-Long
Yang, Xiaokui
MATHEMATISCHE ANNALEN, 2018, 370 (3-4) : 1477 - 1489
[30] DEFORMATION OF SUB-MANIFOLDS OF STRONGLY NEGATIVELY CURVED MANIFOLDS
KALKA, M
MATHEMATISCHE ANNALEN, 1980, 251 (03) : 243 - 248

← 1 2 3 4 5 →