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Hypersurfaces with Isometric Reeb Flow in Hermitian Symmetric Spaces of Rank 2

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Book cover Geometric Science of Information (GSI 2013)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 8085))

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Abstract

In this talk, first we introduce the classification of homogeneous hypersurfaces in some Hermitian symmetric spaces of rank 1 or rank 2. In particular, we give a full expression of the geometric structures for hypersurfaces in complex two-plane Grassmannians G 2(ℂm + 2) or in complex hyperbolic two-plane Grassmannians \(G_2^{*}({\mathbb C}^{m+2})\).

Next by using the isometric Reeb flow we give a complete classification for hypersurfaces M in complex two-plane Grassmannians G 2(ℂm + 2), complex hyperbolic two-plane Grassmannians \(G_2^{*}({\mathbb C}^{m+2})\) and a complex quadric ℚm.

This work was supported by Kyungpook National University Research Grant, 2013 KNU

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Author information

Authors and Affiliations

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

    Young Jin Suh

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  1. Young Jin Suh
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Editor information

Editors and Affiliations

  1. Sony Computer Science Laboratories Inc, Tokyo, Japan

    Frank Nielsen

  2. Thales Land Air Systems, 91470, Limours, France

    Frédéric Barbaresco

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Suh, Y.J. (2013). Hypersurfaces with Isometric Reeb Flow in Hermitian Symmetric Spaces of Rank 2. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2013. Lecture Notes in Computer Science, vol 8085. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40020-9_31

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  • DOI: https://doi.org/10.1007/978-3-642-40020-9_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40019-3

  • Online ISBN: 978-3-642-40020-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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