Consider the quotient of a real Hilbert space by a subgroup of its orthogonal group. We study whether this orbit space can be embedded into a Hilbert space by a bilipschitz map, and we identify constraints on such embeddings.

翻译：考虑实Hilbert空间关于其正交群子群的商空间。我们研究该轨道空间能否通过双Lipschitz映射嵌入到Hilbert空间中，并刻画此类嵌入存在的约束条件。