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

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 - Jan 1 1997

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

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

year = "1997",

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doi = "10.1142/S0218127497001199",

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T1 - Embedded surfaces with ergodic geodesic flows

AU - Burns, Keith H

AU - Donnay, Victor J.

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

SN - 0218-1274

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Embedded surfaces with ergodic geodesic flows

Abstract

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