On the Pseudo-Conformal Geometry of a Kähler Manifold.
On the Rigidity of Certain Discrete Groups and Algebraic Varieties.
On the Scalar Curvature of Complex Surfaces.
On the structure of complete Kähler manifolds with nonnegative curvature near infinity.
On the structure of complete Kähler manifolds with nonnegative curvature near infinity (Erratum).
On the Sum of the Hermitian Scalar Curvatures of a Compact Hermitian Manifold.
On the three-dimensional CR-submanifolds of the six-dimensional sphere.
On the type decomposition of the second fundamental form of a Kähler submanifold
On the volume of a pseudo-effective class and semi-positive properties of the Harder-Narasimhan filtration on a compact Hermitian manifold
This paper divides into two parts. Let (X,ω) be a compact Hermitian manifold. Firstly, if the Hermitian metric ω satisfies the assumption that for all k, we generalize the volume of the cohomology class in the Kähler setting to the Hermitian setting, and prove that the volume is always finite and the Grauert-Riemenschneider type criterion holds true, which is a partial answer to a conjecture posed by Boucksom. Secondly, we observe that if the anticanonical bundle is nef, then for any ε >...
On totally umbilical -submanifolds of a Kähler manifold.
On weak symmetries of Kähler manifolds.
Optimal destabilizing vectors in some Gauge theoretical moduli problems
We prove that the well-known Harder-Narsimhan filtration theory for bundles over a complex curve and the theory of optimal destabilizing -parameter subgroups are the same thing when considered in the gauge theoretical framework.Indeed, the classical concepts of the GIT theory are still effective in this context and the Harder-Narasimhan filtration can be viewed as a limit object for the action of the gauge group, in the direction of an optimal destabilizing vector. This vector appears as an extremal...
Paracomplex projective models and harmonic maps into them.
Pluri-canonical divisors on Kähler manifolds.
Pluriclosed flow on manifolds with globally generated bundles
We show global existence and convergence results for the pluriclosed flow on manifolds for which certain naturally associated tensor bundles are globally generated.
Poincaré-invariant structures in the solution manifold of a nonlinear wave equation.
The solution manifold M of the equation ⎯φ + gφ3 = 0 in Minkowski space is studied from the standpoint of the establishment of differential-geometric structures therein. It is shown that there is an almost Kähler structure globally defined on M that is Poincaré invariant. In the vanishing curvature case g = 0 the structure obtained coincides with the complex Hilbert structure in the solution manifold of the real wave equation. The proofs are based on the transfer of the equation to an ambient universal...
Pontrjagin forms of quaternion manifolds.
Si dimostra che per le varietà a struttura quaternionale generalizzata integrabile, le classi di Pontrjagin sono generate dalle classi di Pontrjagin del fibrato vettoriale fondamentale.
Premières formes de Chern des variétés kählériennes compactes
Principal toroidal bundles over Cauchy-Riemann products.
Projective Connections in CR Geometry.