Titlebook: Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems; Frédéric Hélein Book 2001 Springer Basel AG 2001 Finite.Loop group

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AXIS

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MOCK

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https://doi.org/10.1007/978-3-030-95534-2We consider once more maps into .. Note that . can be identified with the group SO(. + 1)/SO(.) as follows.

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hedonic

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THE

From minimal surfaces and CMC surfaces to harmonic maps,Let Ω be an open subset of ? and .: Ω → ?. a conformal parametrization of a surface Σ. We use all the notation form the previous section. In particular, we have for the mean curvature if we write for the second fundamental form.