A characterization of flat metrics on tori by ergodicity

The Riemannian flat metrics on tori T2 are characterized by a weakly ergodic property of the geodesic flows.

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Bibliographic Details
Published in:Ergodic theory and dynamical systems 1987-06, Vol.7 (2), p.197-201
Main Author: Innami, Nobuhiro
Format: Article
Language:English
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Description
Summary:The Riemannian flat metrics on tori T2 are characterized by a weakly ergodic property of the geodesic flows.
ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385700003941