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Journals and Conferences
We study analogues of classical inequalities for the eigenvalues of sums of Hermitian matrices for the cone of admissible elements in the pseudo-Hermitian case. In particular, we obtain analogues of… (More)
We present some basic results on a natural Poisson structure on any compact symmetric space. The symplectic leaves of this structure are related to the orbits of the corresponding real semisimple… (More)
We study hamiltonian actions of compact groups in the presence of compatible involutions. We show that the lagrangian fixed point set on the symplectically reduced space is isomorphic to the disjoint… (More)
Let G be a complex semisimple Lie group and τ a complex antilinear involution that commutes with a Cartan involution. If H denotes the connected subgroup of τ -fixed points in G, and K is maximally… (More)
We consider the moduli space Mr of polygons with fixed side lengths in five-dimensional Euclidean space. We analyze the local structure of its singularities and exhibit a real-analytic equivalence… (More)
We study the symplectic geometry of the moduli spaces of polygons in the Minkowski 3-space.
We give a simple proof of the equality of the spectra for projections to Levi factors in the linear and non-linear cases, generalizing a classical theorem of Kostant.
Let G be a complex semisimple Lie group and τ a complex an-tilinear involution that commutes with the Cartan involution. If H denotes the connected subgroup of τ-fixed points in G, and K is maximally… (More)
The purpose of this note is to define tri-moment maps for certain manifolds with an Sp(1)n-action. We show how these maps can be used to reduce such manifolds to ones with fewer symmetries. The… (More)
Given a compact Kähler manifold, we consider the complement U of a divisor with normal crossings. We study the variety of unitary representations of π1(U) with certain restrictions related to the… (More)