A Note on Riemannian Metrics on the Moduli Space of Riemann Surfaces
نویسنده
چکیده
In this note we show that the moduli space M(Sg,n) of surface Sg,n of genus g with n punctures, satisfying 3g + n ≥ 5, admits no complete Riemannian metric of nonpositive sectional curvature such that the Teichmüler space T(Sg,n) is a mapping class group Mod(Sg,n)-invariant visibility manifold.
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