54 citations · 59 across the 3 of their papers we have counts for
6 papers
Injectivity of the Double Fibration Transform for Cycle Spaces of Flag Domains
Alan T. Huckleberry, Joseph A. Wolf
The basic setup consists of a complex flag manifold where is a complex semisimple Lie group and is a parabolic subgroup, an open orbit where…
Cycle spaces of G-orbits in -flag manifolds
A. Huckleberry, B. Ntatin
It is shown that the cycle space of an arbitrary orbit of a non-Hermitian real form G in a flag manifold of its complexification is naturally equivalent to a cert…
Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint
Alan T. Huckleberry, Joseph A. Wolf
This is a survey of history, methods and developments in the theory of cycle spaces of flag domains, and new results on double fibration transforms and their applications.
Characterization of cycle domains via Kobayashi hyperbolicity
Gregor Fels, Alan Huckleberry
A real form of a complex semisimple Lie group has only finitely many orbits in any given -flag manifold . The complex geometry of these orbits is of interes…
Schubert varieties and cycle spaces
A. Huckleberry, J. A. Wolf
Complex geometric properties of the orbits of a non-compact real form in a flag manifold of a complex semi-simple groups are studied. Schubert varie…
Group Actions on S^6 and complex structures on P_3
Alan T. Huckleberry, Stefan Kebekus, Thomas Peternell
It is proved that if S^6 possesses an integrable complex structure, then there exists a 1-dimensional family of pairwise different exotic complex structures on P_3(C). This follows…