THE POISSON BOUNDARY FOR RANK-ONE MANIFOLDS AND THEIR COCOMPACT LATTICES

被引：19

作者：

BALLMANN, W ^{[1
]}

LEDRAPPIER, F ^{[1
]}

机构：

[1] UNIV PARIS 06, F-75252 PARIS 05, FRANCE

来源：

FORUM MATHEMATICUM | 1994年 / 6卷 / 03期

关键词：

D O I：

10.1515/form.1994.6.301

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a complete simply connected Riemannian manifold of non-positive curvature. If M admits a compact quotient and is of rank one, then Brownian motion converges at partial derivative M, the sphere at infinity, and defines the family of harmonic measures on partial derivative M. In this paper it is shown that partial derivative M together with this family of measures is naturally isomorphic to the Poisson boundary of M.

引用

页码：301 / 313

页数：13

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