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Locally conformally Hermitian-flat manifolds

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Abstract

We introduce the notion of a locally conformally Hermitian-flat manifold and derive a necessary and sufficient condition for a Hermitian manifold to be locally conformally Hermitian-flat. In addition, we construct a family of examples.

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Authors and Affiliations

  1. Department of Mathematics, Ichinoseki National College of Technology, 021, Ichinoseki, Japan

    Koji Matsuo

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  1. Koji Matsuo
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Matsuo, K. Locally conformally Hermitian-flat manifolds. Ann Glob Anal Geom 13, 43–54 (1995). https://doi.org/10.1007/BF00774566

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  • DOI: https://doi.org/10.1007/BF00774566

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