Unique continuation of semi-conformality for a harmonic mapping onto a surface |
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| Authors: | Paul Baird Dantouma Kamissoko |
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| Affiliation: | (1) Département de Mathématiques, Université de Bretagne Occidentale, 6 av. Victor Le Gorgeu CS 93837, 29238 Brest Cedex, France |
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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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| Keywords: | Mathematics Subject Classification (2000) 58E20 |
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