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Ideal CR submanifolds in non-flat complex space forms

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Abstract

An explicit representation for ideal CR submanifolds of a complex hyperbolic space has been derived in T. Sasahara (2002). We simplify and reformulate the representation in terms of certain Kähler submanifolds. In addition, we investigate the almost contact metric structure of ideal CR submanifolds in a complex hyperbolic space. Moreover, we obtain a codimension reduction theorem for ideal CR submanifolds in a complex projective space.

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Authors and Affiliations

  1. Division of Mathematics, Center for Liberal Arts and Sciences, Hachinohe Institute of Technology, 88-1, Ohbiraki Myo, Hachinohe Aomori, 031-8501, Japan

    Toru Sasahara

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  1. Toru Sasahara
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Correspondence to Toru Sasahara.

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Sasahara, T. Ideal CR submanifolds in non-flat complex space forms. Czech Math J 64, 79–90 (2014). https://doi.org/10.1007/s10587-014-0085-x

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  • DOI: https://doi.org/10.1007/s10587-014-0085-x

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