DIFFERENTIABLE ACTIONS OF HOMOTOPY SEVEN SPHERES, II.

Abstract

The paper presents a theorem which shows that there are exactly six unoriented homotopy 7-spheres not diffeomorphic to one another such that on each of them there is a free differentiable action of the circle group. Moreover, on any homotopy 7-sphere, if there exists a free differentiable action of the circle group, then there are infinitely many topologically distinct from one another.

Document Details

Document Type
Technical Report
Publication Date
Mar 04, 1968
Accession Number
AD0667377

Entities

People

  • C. T. Yang
  • D. Montgomery

Organizations

  • University of Pennsylvania

Tags

DTIC Thesaurus Topics

  • Algebraic Topology
  • Geometry
  • Mathematics

Fields of Study

  • Mathematics

Readers

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  • Materials Science and Engineering.
  • Mathematical Modeling and Probability Theory.