Harmonic diffeomorphisms and Teichmüller theory.
Harmonic Differential Operators.
Harmonic symplectic spinors on Riemann surfaces.
Harnack inequalities on a manifold with positive or negative Ricci curvature.
Several new Harnack estimates for positive solutions of the heat equation on a complete Riemannian manifold with Ricci curvature bounded below by a positive (or a negative) constant are established. These estimates are sharp both for small time, for large time and for large distance, and lead to new estimates for the heat kernel of a manifold with Ricci curvature bounded below.
Heat kernel estimates and lower bound of eigenvalues.
Hyper-differential operators in complex space