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A characterization of all homogeneous real hypersurfaces in a complex projective space by observing the extrinsic shape of geodesics

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Abstract.

We will give a characterization of all homogeneous real hypersurfaces in a complex projective space by observing the extrinsic shape of geodesics with initial vectors lying in the maximal holomorphic subspace of the tangent space at each point.

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Authors and Affiliations

  1. Department of Mathematics, Nagoya Institute of Technology, Gokiso, Nagoya 466-8555, Japan, , , , , , JP

    Toshiaki Adachi

  2. Ibaraki University, Bunkyo, Mito, Ibaraki 310-0056, Japan, current address: Department of Mathematics, Shimane University, Matsue 690-8504, Japan, , , , , , JP

    Makoto Kimura

  3. Department of Mathematics, Shimane University, Matsue 690-8504, Japan, , , , , , JP

    Sadahiro Maeda

Authors
  1. Toshiaki Adachi
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  2. Makoto Kimura
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  3. Sadahiro Maeda
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Received: 13.5.1998

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Adachi, T., Kimura, M. & Maeda, S. A characterization of all homogeneous real hypersurfaces in a complex projective space by observing the extrinsic shape of geodesics. Arch. Math. 73, 303–310 (1999). https://doi.org/10.1007/s000130050402

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  • DOI: https://doi.org/10.1007/s000130050402

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