Subelliptic harmonic maps from Carnot groups |
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Authors: | Email author" target="_blank">Changyou?WangEmail author |
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Institution: | (1) Department of Mathematics, University of Kentucky, KY 40506 Lexington, USA |
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Abstract: | For subelliptic harmonic maps from a Carnot group into a Riemannian manifold without boundary, we prove that they are smooth near any
-regular point (see Definition 1.3) for sufficiently small
. As a consequence, any stationary subelliptic harmonic map is smooth away from a closed set with zero HQ-2 measure. This extends the regularity theory for harmonic maps (cf. SU], Hf], El], Bf]) to this subelliptic setting.Received: 24 April 2002, Accepted: 30 September 2002, Published online: 17 December 2002Mathematics Subject Classification (2000):
35B65, 58J42 |
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Keywords: | |
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