Eguchi-Hanson space is a specific example of a Ricci-flat manifold that arises in the study of gravitational theories in higher dimensions, particularly in the context of string theory and differential geometry. It is a four-dimensional, asymptotically locally Euclidean manifold that can be described as follows: 1. **Metric Structure**: The Eguchi-Hanson space can be understood as a self-dual solution to the Einstein equations with a negative cosmological constant.
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