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.
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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