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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
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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.

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Additional Information

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

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