Archiv der Mathematik

, Volume 73, Issue 4, pp 303–310 | Cite as

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

  • Toshiaki Adachi
  • Makoto Kimura
  • Sadahiro Maeda

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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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  • Toshiaki Adachi
    • 1
  • Makoto Kimura
    • 2
  • Sadahiro Maeda
    • 3
  1. 1.Department of Mathematics, Nagoya Institute of Technology, Gokiso, Nagoya 466-8555, JapanJP
  2. 2.Ibaraki University, Bunkyo, Mito, Ibaraki 310-0056, Japan, current address: Department of Mathematics, Shimane University, Matsue 690-8504, JapanJP
  3. 3.Department of Mathematics, Shimane University, Matsue 690-8504, JapanJP

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