CR-manifolds, harmonic maps and stability. (Q5954166)

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scientific article; zbMATH DE number 1698616
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CR-manifolds, harmonic maps and stability.
scientific article; zbMATH DE number 1698616

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    CR-manifolds, harmonic maps and stability. (English)
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    15 October 2002
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    In this paper, the authors study harmonic maps between strongly pseudoconvex CR-manifolds. In the first half of this paper, they work on tension fields of harmonic maps, and prove, for example, that any \((\varphi, J)\)-holomorphic map from a contact metric manifold \(M(\varphi, \xi, \eta, g)\) into a Kähler manifold \(N(J, g')\) is harmonic. In the rest of the paper, they give some results on instability of harmonic maps.
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    harmonic map
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    CR-manifold
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    stability
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