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Ergodic theory and the geodesic flow on surfaces of constant negative curvature. (English) Zbl 0227.53003


MSC:

53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
53D25 Geodesic flows in symplectic geometry and contact geometry
37A99 Ergodic theory
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References:

[1] Eberhard Hopf, Ergodentheorie, Ergebnisse der Mathematik, Band 5, no. 2, Springer-Verlag, Berlin, 1937. · Zbl 0017.28301
[2] Eberhard Hopf, Statistik der geodätischen Linien in Mannigfaltigkeiten negativer Krümmung, Ber. Verh. Sächs. Akad. Wiss. Leipzig 91 (1939), 261 – 304 (German). · Zbl 0024.08003
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