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An intrinsic characterization of isometric pluriharmonic immersions with codimension one

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Abstract

We give an intrinsic characterization of isometric pluriharmonic immersions of Kähler manifolds into semi-Euclidean spaces with real codimension one, which is a generalization of the Ricci-Curbastro theorem.

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Authors and Affiliations

  1. Graduate School of Information Sciences, Tôhoku University, Katahira, 980-8577, Sendai, Japan

    Hitoshi Furuhata

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  1. Hitoshi Furuhata
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Research partly supported by the Grants-in-Aid for Encouragement of Young Scientists, The Ministry of Education, Science and Culture, Japan.

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Furuhata, H. An intrinsic characterization of isometric pluriharmonic immersions with codimension one. J Geom 65, 111–116 (1999). https://doi.org/10.1007/BF01228682

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  • DOI: https://doi.org/10.1007/BF01228682

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