Accession Number : AD0619310

Title :   DIFFERENTIABLE ACTIONS ON HOMOTOPY SEVEN SPHERES.

Descriptive Note : Interim technical rept.,

Corporate Author : PENNSYLVANIA UNIV PHILADELPHIA

Personal Author(s) : Montgomery,D. ; Yang,Chung-Tao

Report Date : 1965

Pagination or Media Count : 34

Abstract : This report presents studies of differentiable actions of the circle group SO(2) 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)

Descriptors :   (*TOPOLOGY, SPHERES), (*GROUPS(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS)), DIFFERENTIAL GEOMETRY, ALGEBRAIC TOPOLOGY, PROJECTIVE GEOMETRY

Distribution Statement : APPROVED FOR PUBLIC RELEASE