Suppose G is a cyclic group and M a closed smooth G-manifold with exactly one isotropy type. We will show that there is a nonsingular real algebraic G-variety X such that X is equivariantly diffeomorphic to M and all G-vector bundles over X are strongly algebraic.

中文翻译：

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一种同构类型的环群作用的代数实现

假设G是一个环状基团，M是一个恰好是一种各向同性类型的闭合光滑G-流形。我们将证明存在一个非奇异的实代数G-变种X，使得X与M等价微分，并且X上的所有G-向量束都是强代数。