A characterization of flat metrics on tori by ergodicity

DOI10.1017/S0143385700003941zbMath0625.58022MaRDI QIDQ3027952

Nobuhiro Innami

Publication date: 1987

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

geodesic flowsRiemannian flat metrics on toriweakly ergodic property

Mathematics Subject Classification ID

Global differential geometry (53C99) Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

• On tori having poles
• Tori with one-parameter groups of motions
• On the ergodicity of geodesic flows
• Surfaces Without Conjugate Points

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