JournalsprimsVol. 39, No. 1pp. 49–57

Principal Bundle Maps via Rational Homotopy Theory

  • Hiroo Shiga

    Ryukyu University, Okinawa, Japan
  • Toshihiro Yamaguchi

    Kochi University, Japan
Principal Bundle Maps via Rational Homotopy Theory cover
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Abstract

Let P be a finite complex on which _S_1 acts freely. In this paper, we shall give a sufficient condition that the kernel of the natural map (forgetful map) Aut_S_1 P → Aut P is a finite group.

Cite this article

Hiroo Shiga, Toshihiro Yamaguchi, Principal Bundle Maps via Rational Homotopy Theory. Publ. Res. Inst. Math. Sci. 39 (2003), no. 1, pp. 49–57

DOI 10.2977/PRIMS/1145476148