Abstract
We show that the intersection of real flag manifolds in the complex flag manifold consisting of sequences of complex subspaces in a complex vector space is an antipodal set, which is a generalization of that in a Hermitian symmetric space of compact type.
Information
Published: 1 January 2019
First available in Project Euclid: 27 November 2019
zbMATH: 1260.53084
Digital Object Identifier: 10.2969/aspm/08210087
Subjects:
Primary:
53C30
Keywords:
antipodal set
,
Complex flag manifold
,
real flag manifold
Rights: Copyright © 2019 Mathematical Society of Japan
