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Real hypersurfaces in complex space forms concerned with the local symmetry

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Abstract

This paper consists of two parts. In the first, we find some geometric conditions derived from the local symmetry of the inverse image by the Hopf fibration of a real hypersurface M in complex space form M m(4ε). In the second, we give a complete classification of real hypersurfaces in M m(4ε) which satisfy the above geometric facts.

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Authors and Affiliations

  1. Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain

    Juan de Dios Pérez

  2. Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea

    Seon Mi Lyu & Young Jin Suh

Authors
  1. Seon Mi Lyu
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  2. Juan de Dios Pérez
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  3. Young Jin Suh
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Additional information

The second author was supported by DGICYT research project BFM 2001-2871-C04-01 and the first and the third authors were supported by grant Proj. No. R14-2002-003-01001-0 from Korea Research Foundation, Korea 2006.

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Lyu, S.M., de Dios Pérez, J. & Suh, Y.J. Real hypersurfaces in complex space forms concerned with the local symmetry. Czech Math J 57, 885–905 (2007). https://doi.org/10.1007/s10587-007-0083-3

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  • DOI: https://doi.org/10.1007/s10587-007-0083-3

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