The heat flows and harmonic maps of complete noncompact Riemannian manifolds.
The Holomorphic or Anti-Holomorphic Character of Harmonic Maps into Irreducible Compact Quotients of Polydiscs.
The index of the second variation of a control system
The information metric on rational maps.
The Lagrange complex
The Lagrange Intersections for (CPn, RPn).
The Landau-Lifshitz equation with the external field - a new extension for harmonic maps with values in S2.
The minimal period problem of classical hamiltonian systems with even potentials
The Nonlinear Connections and Harmonicity.
The number of buckled states of circular plates
The number of critical points in Morse approximations
The Rate of Convergence of a Harmonic Map at a Singular Point.
The rectifiable distance in the unitary Fredholm group
Let = u: u unitary and u-1 compact stand for the unitary Fredholm group. We prove the following convexity result. Denote by the rectifiable distance induced by the Finsler metric given by the operator norm in . If and the geodesic β joining u₀ and u₁ in satisfy , then the map is convex for s ∈ [0,1]. In particular, the convexity radius of the geodesic balls in is π/4. The same convexity property holds in the p-Schatten unitary groups = u: u unitary and u-1 in the p-Schatten class...
The role of Onofri type inequalities in the symmetry properties of extremals for Caffarelli-Kohn-Nirenberg inequalities, in two space dimensions
We first discuss a class of inequalities of Onofri type depending on a parameter, in the two-dimensional Euclidean space. The inequality holds for radial functions if the parameter is larger than . Without symmetry assumption, it holds if and only if the parameter is in the interval . The inequality gives us some insight on the symmetry breaking phenomenon for the extremal functions of the Caffarelli-Kohn-Nirenberg inequality, in two space dimensions. In fact, for suitable sets of parameters (asymptotically...
The second variation of area of minimal surfaces in four-manifolds.
The Singular Set of an energy minimzing map from B4 to S2.
The singularities of Yang-Mills connections for bundles on a surface.
The singularities of Yang-Mills connections for bundles on a surface.
The singularity structureοf the Yang-Mills configuration space
The geometric description of Yang–Mills theories and their configuration space is reviewed. The presence of singularities in M is explained and some of their properties are described. The singularity structure is analysed in detail for structure group SU(2). This review is based on [28].
The Smith Conjecture in dimension four and equivariant gauge theory.