Embedded surfaces with ergodic geodesic flows

Keith H Burns; Victor J. Donnay

doi:10.1142/S0218127497001199

Embedded surfaces with ergodic geodesic flows

Keith H Burns^*, Victor J. Donnay

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Following ideas of Osserman, Ballmann and Katok, we construct smooth surfaces with ergodic, and indeed Bernoulli, geodesic flow that are isometrically embedded in R³. These surfaces can have arbitrary genus and can be made analytic.

Original language	English (US)
Pages (from-to)	1509-1527
Number of pages	19
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	7
Issue number	7
DOIs	https://doi.org/10.1142/S0218127497001199
State	Published - Jan 1 1997

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

Access to Document

10.1142/S0218127497001199

Fingerprint Dive into the research topics of 'Embedded surfaces with ergodic geodesic flows'. Together they form a unique fingerprint.

Cite this

@article{9a0040dc1baf4cffb14c78c4950cc27a,

title = "Embedded surfaces with ergodic geodesic flows",

abstract = "Following ideas of Osserman, Ballmann and Katok, we construct smooth surfaces with ergodic, and indeed Bernoulli, geodesic flow that are isometrically embedded in R3. These surfaces can have arbitrary genus and can be made analytic.",

author = "Burns, {Keith H} and Donnay, {Victor J.}",

year = "1997",

month = jan,

day = "1",

doi = "10.1142/S0218127497001199",

language = "English (US)",

volume = "7",

pages = "1509--1527",

journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",

issn = "0218-1274",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "7",

}

TY - JOUR

T1 - Embedded surfaces with ergodic geodesic flows

AU - Burns, Keith H

AU - Donnay, Victor J.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - Following ideas of Osserman, Ballmann and Katok, we construct smooth surfaces with ergodic, and indeed Bernoulli, geodesic flow that are isometrically embedded in R3. These surfaces can have arbitrary genus and can be made analytic.

AB - Following ideas of Osserman, Ballmann and Katok, we construct smooth surfaces with ergodic, and indeed Bernoulli, geodesic flow that are isometrically embedded in R3. These surfaces can have arbitrary genus and can be made analytic.

UR - http://www.scopus.com/inward/record.url?scp=21944440467&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21944440467&partnerID=8YFLogxK

U2 - 10.1142/S0218127497001199

DO - 10.1142/S0218127497001199

M3 - Article

AN - SCOPUS:21944440467

VL - 7

SP - 1509

EP - 1527

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

SN - 0218-1274

IS - 7

ER -

Embedded surfaces with ergodic geodesic flows

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Cite this