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math.DG2013
On finite generation of holomorphic functions on Riemann surfaces
Gang Liu
We gave an alternative short proof on the finite generation of holomorphic functions with polynomial growth on Riemann surfaces with nonnegative curvature. The first proof was due…
math.DG2013★ 1 cited
Three Circle Theorems on Kähler manifolds and applications
Gang Liu
The classical Hadamard three circle theorem is generalized to complete Kähler manifolds. More precisely, we show that the nonnegativity of the holomorphic sectional curvature is a…