A finiteness theorem for harmonic maps into Hilbert Grassmannians
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- by Rodrigo P. Gomez PDF
- Trans. Amer. Math. Soc. 353 (2001), 1741-1753 Request permission
Abstract:
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
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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
- Email: rpgomez@yahoo.com
- 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.
- © Copyright 2001 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 1741-1753
- MSC (2000): Primary 58E20; Secondary 53C07
- DOI: https://doi.org/10.1090/S0002-9947-01-02420-5
- MathSciNet review: 1637074
Dedicated: This article is dedicated to my beloved daughter Katherine