Hamiltonian flows of curves in and vector soliton equations of mKdV and sine-Gordon type.
Hardy spaces on affine symmetric spaces.
Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces and
The exceptional compact symmetric spaces and admit cohomogeneity one isometric actions with two totally geodesic singular orbits. These singular orbits are not reflective submanifolds of the ambient spaces. We prove that the radial unit vector fields associated to these isometric actions are harmonic and minimal.
Harmonic mappings of Kähler manifolds to locally symmetric spaces
Harmonic maps and representations of non-uniform lattices of
We study representations of lattices of into . We show that if a representation is reductive and if is at least 2, then there exists a finite energy harmonic equivariant map from complex hyperbolic -space to complex hyperbolic -space. This allows us to give a differential geometric proof of rigidity results obtained by M. Burger and A. Iozzi. We also define a new invariant associated to representations into of non-uniform lattices in , and more generally of fundamental groups of orientable...
Harmonic maps and -regular manifolds
Harmonic tori in spheres and complex projective spaces.
Harmonicity of vector fields on four-dimensional generalized symmetric spaces
Let (M = G/H;g)denote a four-dimensional pseudo-Riemannian generalized symmetric space and g = m + h the corresponding decomposition of the Lie algebra g of G. We completely determine the harmonicity properties of vector fields belonging to m. In some cases, all these vector fields are critical points for the energy functional restricted to vector fields. Vector fields defining harmonic maps are also classified, and the energy of these vector fields is explicitly calculated.
Hausdorff dimensions of limit sets I.
Higher order Ossermann pseudo-Riemannian manifolds of neutral signature .
Holomorphic immersions between compact hyperbolic space forms.
Holomorphic retractions and boundary Berezin transforms
In an earlier paper, the first two authors have shown that the convolution of a function continuous on the closure of a Cartan domain and a -invariant finite measure on that domain is again continuous on the closure, and, moreover, its restriction to any boundary face depends only on the restriction of to and is equal to the convolution, in , of the latter restriction with some measure on uniquely determined by . In this article, we give an explicit formula for in terms of ,...
Holomorphic torsion on Hermitian symmetric spaces.
Homogeneous geodesics in five-dimensional generalized symmetric spaces.
Homogeneous -symmetric spaces of interior type with simple real fundamental groups and their connection with parabolic spaces.
Huyghens' principle in Riemannian symmetric spaces.
Hyperpolar actions and k-flat homogeneous spaces.
Hypoelliptic and Gevrey hypoelliptic invariant differential operators on certain symmetric spaces