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References
M. F. Atiyah and F. Hirzebruch, Spin-manifolds and group actions, Essays on Topology and Related Topics, Springer-Verlag (1969), 18–28.
Garrett Birkhoff, Extensions of Lie groups, Math-Zeit., 53 (1950), 226–235.
A. Borel et al., Seminar on Transformations Groups, Ann. of Math. Studies 46, Princeton Univ. Press, Princeton, N.J., 1960.
P. E. Conner and D. Montgomery, Transformation groups on a K(π, 1), I., Mich. Math. J. 6 (1959), 405–412.
P. E. Conner and F. Raymond, Actions of compact Lie groups on aspherical manifolds, Topology of Manifolds, Markham (1970), 227–264.
P. E. Conner and F. Raymond, Manifolds with few periodic homeomorphisms, these proceedings.
P. E. Conner, F. Raymond and P. Weinberger, Manifolds with no periodic maps, these proceedings.
L. P. Eisenhart, Riemannian Geometry, Princeton Univ. Press, Princeton, N. J. 1926.
W. C. Hsiang, A note on free differentiable actions of S1 and S3 on homotopy spheres, Ann. of Math. 83(1966), 266–272.
W. C. Hsiang and W. Y. Hsiang, The degree of symmetry of homotopy spheres, Ann. of Math. 89 (1969), 52–67.
W. Y. Hsiang, On the bound of the dimensions of the isometry groups of all possible Riemannian metrics on an exotic sphere, Ann. of Math. 85 (1967), 351–357.
W. Y. Hsiang, On the degree of symmetry and the structure of highly symmetric manifolds, mimeo., University of Cal., Berkeley.
H. T. Ku and M. C. Ku, Characteristic invariants of free differentiable actions of S1 and S3 on homotopy spheres, these proceedings.
H. T. Ku, L. N. Mann, J. L. Sicks and J. C. Su, Degree of symmetry of a product manifold, Trans. Amer. Math. Soc. 146 (1969), 133–149.
H. T. Ku, L. N. Mann, J. L. Sicks and J. C. Su, Degree of symmetry of a homotopy real projective space, Trans. Amer. Math. Soc., 161 (1971), 51–61.
L. N. Mann, Gaps in the dimensions of transformation groups, Ill. J. Math. 10 (1966), 532–546.
D. Montgomery and H. Samelson, Transformation groups of spheres, Ann. of Math. 44 (1943), 454–470.
P. S. Mostert, On a compact Lie group acting on a manifold, Ann. of Math. 65 (1957), 447–455.
P. S. Mostert, editor, Proceedings of the Conference on Transformation Groups, Springer-Verlag 1968.
P. Orlik and F. Raymond, Actions of SO (2) on 3-manifolds, Proceedings of the Conference on Transformation Groups, Springer-Verlag (1968), 297–318.
F. Raymond, Classification of the actions of the circle on 3-manifolds, Trans. Amer. Math. Soc. 131 (1968), 51–78.
R. Schultz, Improved estimates for the degree of symmetry of certain homotopy spheres, Topology 10 (1971), 227–235.
R. Schultz, Semifree circle actions and the degree of symmetry of homotopy spheres, Am. J. of Math. 93 (1971), 829–839.
R. Schultz, Circle actions on homotopy spheres bounding plumbing manifolds, to appear.
H. Wakakuwa, On n-dimensional Riemannian spaces admitting some groups of motions of order less than 1/2 n(n-1), Tohoku Math. J. (2), 6 (1954), 121–134.
H. C. Wang, On Finsler spaces with completely integrable equations of Killing, Journ. of the London Math. Soc. 22 (1947), 5–9.
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Ku, H.T., Mann, L.N., Sicks, J.L., Su, J.C. (1972). Degree of symmetry of closed manifolds. In: Ku, H.T., Mann, L.N., Sicks, J.L., Su, J.C. (eds) Proceedings of the Second Conference on Compact Transformation Groups. Lecture Notes in Mathematics, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070057
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DOI: https://doi.org/10.1007/BFb0070057
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