Erratum: On the structure of complete Kähler manifolds with nonnegative curvature near infinity (Q1176639)

In this note the author clarifies the reasons to change the conclusion of Theorem 3.3 in the paper [ibid. 99, No. 3, 579-600 (1990; Zbl 0695.53052)]. More precisely, the manifold \(M\) might not necessarily split into Riemannian product of \(N\) with a Riemann surface \(\Sigma/D_ 0\). The correct conclusion is that, for each end \(e\) of \(M\), it is the total space of a holomorphic fibration over a complete Riemann surface with boundary \(\Sigma\) with totally geodesic fibers given by \(N\). The Riemann surface is homeomorphic to a half cylinder \(S^ 1\times\mathbb{R}^ +\) and has nonnegative Gaussian curvature. The fibre \(N\) is a compact Kähler manifold with nonnegative sectional curvature. The metric of \(M\) is locally given by the product metric of \(\Sigma\times N\).