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Real Hypersurfaces in Kähler Manifolds

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Real and Complex Submanifolds

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 106))

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Abstract

We consider real hypersurfaces of compact Kähler manifolds and show that real hypersurfaces of Kähler manifolds induced by Morse functions have contact structures. As examples we consider preimages of regular values of Morse functions on complex projective spaces, and cosymplectic real hypersurfaces of the products of Kähler manifolds and torus.

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Acknowledgements

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2013004848).

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Authors and Affiliations

  1. Division of Mathematical and Physical Sciences, College of Natural Sciences, Ewha Womans University, Seoul, 120-750, Republic of Korea

    Yong Seung Cho

Authors
  1. Yong Seung Cho
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Correspondence to Yong Seung Cho .

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Editors and Affiliations

  1. Department of Mathematics, Kyungpook National University, Daegu, Republic of Korea

    Young Jin Suh

  2. Department of Mathematics, King’s College London, London, UK

    Jürgen Berndt

  3. Department of Mathematics, Osaka City University, Osaka, Japan

    Yoshihiro Ohnita

  4. Department of Applied Mathematics, Kyung Hee University, Yongin, Republic of Korea

    Byung Hak Kim

  5. The Center for Geometry and its Applications, Pohang University of Science and Technology, Pohang, Republic of Korea

    Hyunjin Lee

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Cho, Y.S. (2014). Real Hypersurfaces in Kähler Manifolds. In: Suh, Y.J., Berndt, J., Ohnita, Y., Kim, B.H., Lee, H. (eds) Real and Complex Submanifolds. Springer Proceedings in Mathematics & Statistics, vol 106. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55215-4_32

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