The Chern connection and curvature of the tangent bundle of an almost complex manifold. (La connexion et la courbure de Chern du fibré tangent d'une variété presque complexe.)
The equations of generalized complex structures on complex 2-tori.
The geometry of Teichmüller space via geodesic currents.
The Gromov Norm of the Kaehler Class of Symmetric Domains.
The Kähler Ricci flow on Fano manifolds (I)
We study the evolution of pluri-anticanonical line bundles along the Kähler Ricci flow on a Fano manifold . Under some special conditions, we show that the convergence of this flow is determined by the properties of the pluri-anticanonical divisors of . For example, the Kähler Ricci flow on converges when is a Fano surface satisfying or . Combined with the works in [CW1] and [CW2], this gives a Ricci flow proof of the Calabi conjecture on Fano surfaces with reductive automorphism groups....
The Kernel of the ...-Neumann Operator on Strictly Pseudoconvex Domains.
The Kobayashi-Pseudodistance on Homogeneous Manifolds.
The lower central series of a fiber-type arrangement.
The moduli space of Riemann surfaces is Kähler hyperbolic.
The moduli space of special lagrangian submanifolds
The New Neumann Operator Associated with Deformations of Strongly Pseudo Convex Domains and Its Application to Deformation Theory.
The rational homotopy theory of smooth, complex projective varieties
The Serre Problem on Riemann Surfaces.
The three point pick problem on the bidisk.
The Thullen type extension theorem for holomorphic vector bundles with L2-bounds on curvature.
Theta functions on the Kodaira-Thurston manifold.
Three-dimensional hyperbolic geometry as ...-adic Arakelov geometry.
Three-manifolds and Kähler groups
We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kähler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is both the fundamental group of a closed three-manifold and of a non-Kähler compact complex surface is or .
Tn-Actions on Holomorphically Separable Complex Manifolds.
Toeplitz operators, Kähler manifolds, and line bundles.