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A characterization of flat metrics on tori by ergodicity

Published online by Cambridge University Press:  19 September 2008

Nobuhiro Innami
Nobuhiro Innami
Affiliation:
Faculty of Integrated Arts and Sciences, Hiroshima University, Hiroshima, 730, Japan and Department of Mathematics, Nagoya Institute of Technology, Nagoya, 466, Japan
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Abstract

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

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 2 , June 1987 , pp. 197 - 201
Copyright
Copyright © Cambridge University Press 1987

References

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