We construct several examples of compactifications of Einstein metrics. We show that the Eguchi–Hanson instanton admits a projective compactification which is non-metric, and that a metric cone over any (pseudo)-Riemannian manifolds admits a metric projective compactification. We construct a para-c-projective compactification of neutral signature Einstein metrics canonically defined on certain rank-n affine bundles M over n-dimensional manifolds endowed with projective structures.

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爱因斯坦度量的射影和c射影压缩的一些例子

我们构建了一些爱因斯坦度量标准压缩的例子。我们证明，Eguchi-Hanson瞬时子接受非公制的射影紧缩，而任何（伪）-黎曼流形上的公制圆锥都允许公制射影紧缩。我们构建了一个对位ç上某些秩标准地定义中性签名爱因斯坦度量-projective紧凑化Ñ仿射束中号超过Ñ赋予投射结构维流形。