An Isometric Embedding of a Bounded Set in a Euclidean Space into the Gromov-Hausdorff Space

We construct an isometric embedding of a bounded set in a Euclidean space into the Gromov-Hausdorff space. In particular, we can embed a bounded and connected Riemannian manifold into the Gromov-Hausdorff space by a bilipschitz map.