Infinitesimally holomorphic curves in hyperkähler four-manifolds (Q1871565)

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scientific article; zbMATH DE number 1903610
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Infinitesimally holomorphic curves in hyperkähler four-manifolds
scientific article; zbMATH DE number 1903610

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    Infinitesimally holomorphic curves in hyperkähler four-manifolds (English)
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    4 May 2003
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    The author proves that closed infinitesimal holomorphic curves on a hyper-Kähler four-manifold are holomorphic with respect to one of the parallel complex structures on the ambient space compatible with the metric.
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    Infinitesimally holomorphic curves
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    Parallel spinor fields
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    hyper-Kähler four-manifolds
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