Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Harmonic maps with noncontact boundary values


Author: Harold Donnelly
Journal: Proc. Amer. Math. Soc. 127 (1999), 1231-1241
MSC (1991): Primary 58E20
MathSciNet review: 1473662
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Every rank one symmetric space $M$, of noncompact type, admits a compactification $\overline M$ by attaching a sphere $S^{n-1}$ at infinity. If $M$ does not have constant sectional curvature, then $\overline M-M$ admits a natural contact structure. This paper presents a number of harmonic maps $h$, from $M$ to $M$, which extend continuously to $\overline M$, and have noncontact boundary values. If the boundary values are assumed continuously differentiable, then the contact structure must be preserved.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 58E20

Retrieve articles in all journals with MSC (1991): 58E20


Additional Information

Harold Donnelly
Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04627-4
PII: S 0002-9939(99)04627-4
Received by editor(s): April 19, 1997
Received by editor(s) in revised form: July 31, 1997
Additional Notes: The author was partially supported by NSF Grant DMS-9622709.
Communicated by: Peter Li
Article copyright: © Copyright 1999 American Mathematical Society