5 Smooth Free Involution of H C P 3 and Smith Conjecture for Imbeddings of S 3 in S 6
نویسنده
چکیده
This paper establishes an equivalence between existence of free involutions on HCP 3 and existence of involutions on S with fixed point set an imbedded S, then a family of counterexamples of the Smith conjecture for imbeddings of S in S are given by known result on HCP . In addition, this paper also shows that every smooth homotopy complex projective 3-space admits no orientation preserving smooth free involution, which answers an open problem [Pe]. Moreover, the study of existence problem for smooth orientation preserving involutions on HCP 3 is completed.
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N ov 2 00 2 SMOOTH FREE INVOLUTION OF H C P 3 AND SMITH CONJECTURE FOR IMBEDDINGS OF S 3 IN S 6
This paper establishes an equivalence between existence of free involutions on HCP 3 and existence of involutions on S with fixed point set an imbedded S, then a family of counterexamples of the Smith conjecture for imbeddings of S in S are given by known result on HCP . In addition, this paper also shows that every smooth homotopy complex projective 3-space admits no orientation preserving smo...
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تاریخ انتشار 2005