The Teichmuller Flow is Hamiltonian

DOI10.2307/2161902zbMath0849.32014OpenAlexW4247990197MaRDI QIDQ4874271

Howard A. Masur

Publication date: 5 November 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2161902

zbMATH Keywords

Riemann surfacesgeodesic flowquadratic differentialsTeichmüller spacesHamiltonian flow

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Dynamics induced by flows and semiflows (37C10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geodesics in global differential geometry (53C22) Teichmüller theory for Riemann surfaces (30F60) Geodesic flows in symplectic geometry and contact geometry (53D25) Holomorphic bundles and generalizations (32L05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Differentials on Riemann surfaces (30F30)

Related Items (12)

Masur-Veech volumes, frequencies of simple closed geodesics, and intersection numbers of moduli spaces of curves ⋮ Hodge and Teichmüller ⋮ Discretely shrinking targets in moduli space ⋮ Non-convexity of extremal length ⋮ Horospheres in Teichmüller space and mapping class group ⋮ Effective mapping class group dynamics. I: Counting lattice points in Teichmüller space ⋮ Counting lattice points in moduli spaces of quadratic differentials ⋮ Extremal length functions are log-plurisubharmonic ⋮ Statistical hyperbolicity in Teichmüller space ⋮ Pluripotential theory on Teichmüller space I: Pluricomplex Green function ⋮ Billiards in polygons: Survey of recent results. ⋮ Billiards in Finsler and Minkowski geometries

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