Harmonic cohomology classes of symplectic manifolds.
Harmonic mappings of Kähler manifolds to locally symmetric spaces
Harmonie Forms Dual to Geodesic Cycles in Quotients of SU (p, 1).
Hodge theory for twisted differentials
We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C of Fujiki. We give a Hodgetheoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.
Hodge theory in the Sobolev topology for the de Rham complex on a smoothly bounded domain in Euclidean space.
Hodge-Bott-Chern decompositions of mixed type forms on foliated Kähler manifolds
The Bott-Chern cohomology groups and the Bott-Chern Laplacian on differential forms of mixed type on a compact foliated Kähler manifold are defined and studied. Also, a Hodge decomposition theorem of Bott-Chern type for differential forms of mixed type is proved. Finally, the case of projectivized tangent bundle of a complex Finsler manifold is discussed.