Embedded surfaces with ergodic geodesic flows

Keith Burns; Victor J. Donnay

doi:10.1142/S0218127497001199

Embedded surfaces with ergodic geodesic flows

Keith Burns^*, Victor J. Donnay

^*Corresponding author for this work

Mathematics

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

12 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 - Jul 1997

ASJC Scopus subject areas

Engineering (miscellaneous)
General
Applied Mathematics
Modeling and Simulation

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

year = "1997",

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T1 - Embedded surfaces with ergodic geodesic flows

AU - Burns, Keith

AU - Donnay, Victor J.

PY - 1997/7

Y1 - 1997/7

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.

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U2 - 10.1142/S0218127497001199

DO - 10.1142/S0218127497001199

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AN - SCOPUS:21944440467

SN - 0218-1274

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

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

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ER -

Embedded surfaces with ergodic geodesic flows

Abstract

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