The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components

Abstract

Decomposition of a complex flag manifold into real group orbits 2. Basic facts on the orbit structure 1129 3. The closed orbit 4. Open orbits: construction, covering and counting 5. Open orbits: coset space structure and holomorphic functions 6. Open orbits: invariant measure 7. Integrable orbits Chapter II. Decomposition of a real group orbit into complex analytic pieces. 8. Holomorphic arc components 9. Global conditions for the components of an orbit Chapter III. Hermitian symmetric spaces 10. Hermitian symmetric spaces: orbit structure and holomorphic arc components 1197 11.