Accession Number:

AD0619310

Title:

DIFFERENTIABLE ACTIONS ON HOMOTOPY SEVEN SPHERES.

Descriptive Note:

Interim technical rept.,

Corporate Author:

PENNSYLVANIA UNIV PHILADELPHIA

Personal Author(s):

Report Date:

1965-01-01

Pagination or Media Count:

34.0

Abstract:

This report presents studies of differentiable actions of the circle group SO2 on homotopy 7-spheres. The class of free such actions is shown to form an infinite abelian group which is closely related to the group of differentiable knotted 3-spheres in the 6-sphere. Studies are also presented on actions, each having a 3-sphere as the fixed point set and acting freely otherwise. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE