Semi-simple degree of symmetry and maps of degree one into a product of 2-spheres

Tsuyoshi WATABE

doi:10.2969/jmsj/03540683

Tsuyoshi WATABE

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JOURNAL FREE ACCESS

1983 Volume 35 Issue 4 Pages 683-692

DOI https://doi.org/10.2969/jmsj/03540683

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Published: 1983 Received: June 05, 1982 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) A. Borel, Seminar on Transformation Groups, Ann. of Math. Studies, 46, Princeton Univ. Press, 1960.
2) G. Bredon, Sheaf Theory, McGraw-Hill, New York, 1967.
3) P. E. Conner, Orbits of uniform dimension, Michigan Math. J., 6(1958), 25-32.
4) D. Burghelea and R. Schultz, On the semi-simple degree of symmetry, Bull. Soc. Math. France, 103 (1975), 431-440.
5) H. Donnelly and R. Schultz, Compact group actions and maps into aspherical manifolds, preprint.
6) N. Hitchen, Harmonic spinors, Advances in Math., 14 (1974), 1-55
7) B. Lawson, Jr. and S. T. Yau, Scalar curvature, non-abelian group actions and the degree of symmetry of exotic spheres, Comm. Math. Helv., 49(1974), 232-244.
8) J. Milnor, Remarks concerning spin manifolds, Differential and Combinatorial Topology, a Symposium in Honor of M. Morse, Princeton Univ. Press, 1965, 55-62.
9) R. Schoen and S. T. Yau, Compact group actions and the topology of manifolds with non-positive curvature, Topology, 18(1979), 361-380.
10) T. E. Stewart, Lifting group actions in fibre bundles, Ann. of Math., 74 (1961), 192-198.
11) R. Washiyama and T. Watabe, On the degree of symmetry of a certain manifold, J. Math. Soc. Japan, 35 (1983), 53-58.

Right : [1] A. Borel, Seminar on Transformation Groups, Ann. of Math. Studies, 46, Princeton Univ. Press, 1960.
[2] G. Bredon, Sheaf Theory, McGraw-Hill, New York, 1967.
[3] P. E. Conner, Orbits of uniform dimension, Michigan Math. J., 6 (1958), 25-32.
[4] D. Burghelea and R. Schultz, On the semi-simple degree of symmetry, Bull. Soc. Math. France, 103 (1975), 431-440.
[5] H. Donnelly and R. Schultz, Compact group actions and maps into aspherical manifolds, preprint.
[6] N. Hitchen, Harmonic spinors, Advances in Math., 14 (1974), 1-55
[7] B. Lawson, Jr. and S. T. Yau, Scalar curvature, non-abelian group actions and the degree of symmetry of exotic spheres, Comm. Math. Helv., 49 (1974), 232-244.
[8] J. Milnor, Remarks concerning spin manifolds, Differential and Combinatorial Topology, a Symposium in Honor of M. Morse, Princeton Univ. Press, 1965, 55-62.
[9] R. Schoen and S. T. Yau, Compact group actions and the topology of manifolds with non-positive curvature, Topology, 18 (1979), 361-380.
[10] T. E. Stewart, Lifting group actions in fibre bundles, Ann. of Math., 74 (1961), 192-198.
[11] R. Washiyama and T. Watabe, On the degree of symmetry of a certain manifold, J. Math. Soc. Japan, 35 (1983), 53-58.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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