JournalsprimsVol. 48, No. 3pp. 623–651

Deleting and Inserting Fixed Point Manifolds under the Weak Gap Condition

  • Masaharu Morimoto

    Okayama University, Japan
Deleting and Inserting Fixed Point Manifolds under the Weak Gap Condition cover
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Abstract

Let GG be a finite group and XX a compact smooth manifold. It is of interest which smooth manifolds can be the GG-fixed point sets of smooth GG-actions on XX. The deleting-inserting theorem of this paper is related to this problem and has applications to one-fixed-point actions on spheres as well as to Smith equivalence.

Cite this article

Masaharu Morimoto, Deleting and Inserting Fixed Point Manifolds under the Weak Gap Condition. Publ. Res. Inst. Math. Sci. 48 (2012), no. 3, pp. 623–651

DOI 10.2977/PRIMS/84