English

Orbits of real forms in complex flag manifolds

Complex Variables 2010-12-20 v3 Differential Geometry

Abstract

We investigate the CRCR geometry of the orbits MM of a real form G0G_0 of a complex simple group GG in a complex flag manifold X=G/QX=G/Q. We are mainly concerned with finite type, Levi non-degeneracy conditions, canonical G0G_0-equivariant and Mostow fibrations, and topological properties of the orbits.

Keywords

Cite

@article{arxiv.0711.4484,
  title  = {Orbits of real forms in complex flag manifolds},
  author = {Andrea Altomani and Costantino Medori and Mauro Nacinovich},
  journal= {arXiv preprint arXiv:0711.4484},
  year   = {2010}
}

Comments

36 pages To appear on Annali della Scuola Normale Superiore di Pisa v2: major revision v3: version accepted for publication

R2 v1 2026-06-21T09:48:12.278Z