Volume 2, issue 1 (2002)

Download this article
For printing
Recent Issues

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Exotic smooth structures on nonpositively curved symmetric spaces

Boris Okun

Algebraic & Geometric Topology 2 (2002) 381–389

arXiv: math.DG/0206291

Abstract

We construct series of examples of exotic smooth structures on compact locally symmetric spaces of noncompact type. In particular, we obtain higher rank examples, which do not support Riemannian metric of nonpositive curvature. The examples are obtained by taking the connected sum with an exotic sphere. To detect the change of the smooth structure we use a tangential map from the locally symmetric space its dual compact type twin.

Keywords
locally symmetric space, exotic smooth structure, duality, tangential map
Mathematical Subject Classification 2000
Primary: 53C35
Secondary: 57T15, 55R37, 57R99
References
Forward citations
Publication
Received: 14 January 2002
Revised: 16 May 2002
Accepted: 17 May 2002
Published: 22 May 2002
Authors
Boris Okun
Department of Mathematical Sciences
University of Wisconsin–Milwaukee
Milwaukee, WI 53201
USA