Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


A finiteness theorem for harmonic maps into Hilbert Grassmannians

Author: Rodrigo P. Gomez
Journal: Trans. Amer. Math. Soc. 353 (2001), 1741-1753
MSC (2000): Primary 58E20; Secondary 53C07
Published electronically: January 10, 2001
MathSciNet review: 1637074
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information


In this article we demonstrate that every harmonic map from a closed Riemannian manifold into a Hilbert Grassmannian has image contained within a finite-dimensional Grassmannian.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 58E20, 53C07

Retrieve articles in all journals with MSC (2000): 58E20, 53C07

Additional Information

Rodrigo P. Gomez
Affiliation: Comprehensive Studies Program, University of Michigan, Ann Arbor, Michigan 48109
Address at time of publication: 8838 Tides Ebb Ct., Columbia, Maryland 21045

PII: S 0002-9947(01)02420-5
Keywords: Harmonic maps, closed Riemannian manifolds
Received by editor(s): May 22, 1997
Received by editor(s) in revised form: July 15, 1998
Published electronically: January 10, 2001
Additional Notes: I would like to thank D. Burns for suggesting this problem to me.
Dedicated: This article is dedicated to my beloved daughter Katherine
Article copyright: © Copyright 2001 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia