A pr 2 00 3 Towards the metric on K 3

Abstract

An explicit Riemannian metric with Euclidean signature and anti-self dual curvature that does not admit any Killing vectors is presented. It could be a class of metrics on K3, or on surfaces whose universal covering is K3. This metric contains an infinite number of arbitrary parameters, so further work is required to identify the finite number of essential… (More)

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