The Intersection of Two Real Flag Manifolds in a Complex Flag Manifold

Transformation Groups 2026 Open access

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Authors: Osamu Ikawa, Hiroshi Iriyeh, Takayuki Okuda, Takashi Sakai, Hiroyuki Tasaki
DOI: 10.1007/s00031-026-09949-z
Cited by: 1
References: 26

Abstract

Abstract 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.

Fields of Study & Subjects

Geometric and Algebraic Topology Geometric Analysis and Curvature Flows Geometry and complex manifolds

Publication details

Journal / source
Transformation Groups
Publisher
Springer Science and Business Media LLC
Publication date
10 February 2026
Language
EN