Accession Number:

AD0667377

Title:

DIFFERENTIABLE ACTIONS OF HOMOTOPY SEVEN SPHERES, II.

Descriptive Note:

Technical rept.,

Corporate Author:

PENNSYLVANIA UNIV PHILADELPHIA

Personal Author(s):

Report Date:

1968-03-04

Pagination or Media Count:

19.0

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE