On finitely nondegenerate closed homogeneous CR manifolds

TL;DR

This paper characterizes finitely nondegenerate closed real orbits within complex flag manifolds, providing insights into their CR structures and embedding properties.

Contribution

It offers a new characterization of finitely nondegenerate closed real orbits in complex flag manifolds, enhancing understanding of their CR structures.

Findings

Identification of finitely nondegenerate closed real orbits

Characterization of CR structures on these orbits

Insights into their embedding into complex flag manifolds

Abstract

A complex flag manifold F= G /Q decomposes into finitely many real orbits under the action of a real form of G. Their embedding into F define on them CR manifold structures. We characterize the closed real orbits which are finitely nondegenerate.