151 citations · 202 across the 14 of their papers we have counts for
17 papers
A structure theorem along fibers of extreme points of the momentum polytope
Peter Heinzner, Christian Zöller
Let G be a complex reductive Lie group acting on a compact Kähler manifold X and assume that the action of a maximal compact subgroup K of G is Hamiltonian. For each extreme point…
Equivariant embeddings of strongly pseudoconvex Cauchy-Riemann manifolds
Kevin Fritsch, Peter Heinzner
Let be a CR manifold with transversal, proper CR -action. We show that is a complex space such that the quotient map is a CR map. Moreover the quotient is universal, i…
Invariant Kähler potentials and symplectic reduction
Peter Heinzner, Bernd Stratmann
For a proper Hamiltonian action of a Lie group on a Kähler manifold with momentum map we show that the symplectic reduction is a normal complex space.…
Invariant convex sets in polar representations
Leonardo Biliotti, Alessandro Ghigi, Peter Heinzner
We study a compact invariant convex set in a polar representation of a compact Lie group. Polar rapresentations are given by the adjoint action of on , where…
A remark on the gradient map
Leonardo Biliotti, Alessandro Ghigi, Peter Heinzner
For a Hamiltonian action of a compact group of isometries on a compact Kähler manifold and a compatible subgroup of , we prove that for any closed --…
Polar orbitopes
Leonardo Biliotti, Alessandro Ghigi, Peter Heinzner
We study polar orbitopes, i.e. convex hulls of orbits of a polar representation of a compact Lie group. The face structure is studied by means of the gradient momentum map and it i…