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.
Properties of complete non-compact Kähler surfaces of negative Ricci curvature.
Properties of Kählerian twistor-spinors and vanishing theorems.
Pseudo-Bochner curvature tensor on Hermitian manifolds
Our main purpose of this paper is to introduce a natural generalization of the Bochner curvature tensor on a Hermitian manifold provided with the Hermitian connection. We will call the pseudo-Bochner curvature tensor. Firstly, we introduce a unique tensor P, called the (Hermitian) pseudo-curvature tensor, which has the same symmetries as the Riemannian curvature tensor on a Kähler manifold. By using P, we derive a necessary and sufficient condition for a Hermitian manifold to be of pointwise...
Pseudo-convexité locale dans les variétés kahlériennes
Soit un ouvert relativement compact et localement pseudo-convexe de la variété analytique .Alors,1) Si le fibré tangent est positif, est -convexe.2) Si admet une fonction strictement plurisousharmonique, est de Stein.3) Si est l’espace total d’un morphisme de Stein à base de Stein, est de Stein.
Pseudo-Hermitian Symmetric Spaces