Abstract
Throughout this paper, G denotes the circle group SO(2) of rotations of the euclidean plane and ℤ2 denotes the subgroup of G of order 2. ℝ n denotes the euclidean n-space, S n denotes the unit n-sphere in ℝn+1 and CP n denotes the complex projective n-space, all having the usual differentiable structure. By a homotopy n-sphere, abbreviated by HS n, we mean a closed differentiable n-manifold having the homotopy type of S n ; by a homotopy complex projective n-space, abbreviated by HCP n, we mean a closed differentiable 2n-manifold having the homotopy type of CP n.
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The second author was supported in part by the U.S. Army Research Office and by the National Science Foundation when the work was done.
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Montgomery, D., Yang, C.T. (1968). Free Differentiable Actions on Homotopy Spheres. In: Mostert, P.S. (eds) Proceedings of the Conference on Transformation Groups. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46141-5_9
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DOI: https://doi.org/10.1007/978-3-642-46141-5_9
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