Modified length spectrum metric on the Teichmüller space of a Riemann surface with boundary
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چکیده
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15 صفحه اولThe Canonical Metric on a Riemann Surface and Its Induced Metric on Teichmüller Space
Throughout this paper Σ is a smooth, oriented, closed Riemann surface of genus g, with n punctures and 3g−3+n > 1. Teichmüller space Tg,n is the space of conformal structures on Σ, where two conformal structures σ and ρ are equivalent if there is a biholomorphic map between (Σ, σ) and (Σ, ρ) in the homotopy class of the identity map. The moduli space Mg of Riemann surfaces can be obtained as th...
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2014
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2014.3945