Real and Complex Submanifolds pp 391-399 | Cite as

# Lagrangian Intersection Theory and Hamiltonian Volume Minimizing Problem

## Abstract

In this article, we first describe antipodal sets and the structure of intersections of two real forms in complex flag manifolds. In particular, in the complex flag manifold consisting of sequences of complex subspaces in a complex vector space we investigate the real form consisting of sequences of quaternionic subspaces. Moreover, we discuss applications to the Hamiltonian volume minimizing problem.

## Keywords

Real Form Hermitian Symmetric Space Floer Homology Flag Manifold Quaternionic Vector## Notes

### Acknowledgements

The first author was partly supported by the Grant-in-Aid for Young Scientists (B) (No. 24740049), JSPS. The second author was partly supported by the Grant-in-Aid for Science Research (C) (No. 26400073), JSPS. The third author was partly supported by the Grant-in-Aid for Science Research (C) (No. 24540064), JSPS.

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