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Subelliptic harmonic maps from Carnot groups

  • Changyou Wang
Original Paper

Abstract.

For subelliptic harmonic maps from a Carnot group into a Riemannian manifold without boundary, we prove that they are smooth near any \(\epsilon\)-regular point (see Definition 1.3) for sufficiently small \(\epsilon > 0\). 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.

Keywords

Riemannian Manifold Regular Point Regularity Theory Carnot Group 
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© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of KentuckyLexingtonUSA

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