Vol. 71, No. 2, 1977

Recent Issues
Vol. 325: 1
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Tn-actions on simply connected (n + 2)-manifolds

Dennis McGavran

Vol. 71 (1977), No. 2, 487–497
Abstract

In this paper we show that, for each n 2, there is a unique, closed, compact, connected, simply connected (n + 2)-manifold, Mn+2, admitting an action of Tn satisfying the following condition: there are exactly n T1-stability groups T1,,Tn with each F(Ti,Mn+2) connected. In this case we have TnT1 × × Tn. Any other action (Tn,Mn+2), Mn+2 simply connected, can be obtained from an action (Tn,Mn+2) by equivariantly replacing copies of D4 × Tn2 with copies of S3 × D2 × Tn3. As an application, we classify all actions of Tn on simply connected (n + 2)-manifolds for n = 3,4.

Mathematical Subject Classification
Primary: 57E25, 57E25
Milestones
Received: 20 May 1976
Published: 1 August 1977
Authors
Dennis McGavran