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Bibliographic Details
Main Authors: Ikawa, Osamu, Iriyeh, Hiroshi, Okuda, Takayuki, Sakai, Takashi, Tasaki, Hiroyuki
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.12785
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Table of Contents:
  • We give a necessary and sufficient condition for two real flag manifolds, which are not necessarily congruent, in a complex flag manifold to intersect transversally in terms of the symmetric triad. Then we show that the intersection of two real flag manifolds is antipodal. As an application, we prove that any real flag manifold in a complex flag manifold is a globally tight Lagrangian submanifold.