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Unique continuation of semi-conformality for a harmonic mapping onto a surface

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Abstract

We show that a harmonic mapping ϕ from either a three-manifold (with a condition on its Ricci curvature) or from a surface with values in a surface which has rank 2 somewhere, satisfies the following unique continuation property: if ϕ is semi-conformal on an open set, then it is semi-conformal everywhere.

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Authors and Affiliations

  1. Département de Mathématiques, Université de Bretagne Occidentale, 6 av. Victor Le Gorgeu CS 93837, 29238, Brest Cedex, France

    Paul Baird & Dantouma Kamissoko

Authors
  1. Paul Baird
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  2. Dantouma Kamissoko
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Correspondence to Paul Baird.

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Baird, P., Kamissoko, D. Unique continuation of semi-conformality for a harmonic mapping onto a surface. manuscripta math. 128, 69–75 (2009). https://doi.org/10.1007/s00229-008-0226-3

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  • DOI: https://doi.org/10.1007/s00229-008-0226-3

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