DIFFERENTIABLE ACTIONS ON HOMOTOPY SEVEN SPHERES.

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0619310

Entities

People

  • Chung-tao Yang
  • D. Montgomery

Organizations

  • University of Pennsylvania

Tags

DTIC Thesaurus Topics

  • Algebraic Topology
  • Geometry
  • Groups (Mathematics)
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Graph Algorithms and Convex Optimization.