Embedded surfaces with ergodic geodesic flows

被引：11

作者：

Burns, K ^{[1
]}

Donnay, VJ

机构：

[1] Northwestern Univ, Bryn Mawr, PA 19010 USA

[2] Bryn Mawr Coll, Bryn Mawr, PA 19010 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1997年 / 7卷 / 07期

关键词：

D O I：

10.1142/S0218127497001199

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following ideas of Osserman, Ballmann and Katok, we construct smooth surfaces with ergodic, and indeed Bernoulli, geodesic flow that are isometrically embedded in R-3. These surfaces can have arbitrary genus and can be made analytic.

引用

页码：1509 / 1527

页数：19

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