2012/10/05 by Thomas Peternell, Peternell, Thomas, Florian Schrack +1
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Algebraic Geometry and Number Theory
paper · pdf · doi:10.48550/arxiv.1210.1697
We study complex compact Kaehler manifolds X carrying a contact structure. If X is almost homogeneous and b2(X) ≥ 2, then X is a projectivised tangent bundle (this was known in the projective case even without assumption on the existence of vector fields). We further show that a global projective deformation of the projectivised tangent bundle over a projective space is again of this type unless it is the projectivisation of a special unstable bundle over a projective space. Examples for these bundles are given in any dimension.