We survey recent advances in the non-integrability criteria for Hamiltonian Systems which
involve the differential Galois group of variational equations along particular solutions. The …

Let G be a complex semi-simple Lie group and form its maximal flag manifold F= G/P= U/T
where P is a minimal parabolic (Borel) subgroup, U a compact real form and T= U∩ P a …

In this note we announce several results concerning the stability of certain families of
harmonic maps that we call holomorphic-horizontal frames, with respect to families of …

This paper considers invariant (1, 2)-symplectic almost Hermitian structures on the maximal
flag manifod associated to a complex semi-simple Lie group G. The concept of cone-free …

We give a new proof of a classification theorem of (1, 2)–symplectic metrics on maximal flag
manifolds proved by Cohen, Negreiros and San Martin. We use locally transitive …

We characterize the invariant f-structures F on the classical maximal flag manifold F (n)
which admit (1, 2)-symplectic metrics. This provides a sufficient condition for the existence of …

In this note we announce the result establishing the bijective cor-respondence between (1,
2)-symplectic structures on the manifold of flags of subspaces of C” and the cone-free …

In this work, we study the existence of invariant almost complex structures on real flag
manifolds associated to split real forms of complex simple Lie algebras. We show that …

This paper considers invariant almost Hermitian structures on a flag manifold G/P= U/K
where G is a complex semi-simple Lie group, P is a parabolic subgroup of G, U is a compact …

In this article, we study variational aspects for a special class of holomorphic maps on flag
manifolds. We prove stability and non-stability results for such maps with respect to a large …