The intersection of two real forms in the complex hyperquadric

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Author(s)

    • TASAKI H.
    • School of Pure and Applied Science, University of Tsukuba

Abstract

We show that, in the complex hyperquadric, the intersection of two real forms, which are certain totally geodesic Lagrangian submanifolds, is an antipodal set whose cardinality attains the smaller 2-number of the two real forms. As a corollary of the result, we know that any real form in the complex hyperquadric is a globally tight Lagrangian submanifold.

Journal

  • Tohoku Math. J.

    Tohoku Math. J. 62, 375-382, 2010

    Tohoku University

Cited by:  1

Codes

  • NII Article ID (NAID)
    110008425954
  • NII NACSIS-CAT ID (NCID)
    AA00863953
  • Text Lang
    ENG
  • Article Type
    Journal Article
  • ISSN
    00408735
  • Data Source
    CJPref  NII-ELS 
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