Pluriclosed flow on generalized Kähler manifolds with split tangent bundle

M ay 2 00 6 GENERALIZED KÄHLER MANIFOLDS WITH SPLIT TANGENT BUNDLE

We study generalized Kähler manifolds for which the corresponding complex structures commute and classify completely the compact generalized Kähler four-manifolds for which the induced complex structures yield opposite orientations.

Manifolds with an Su(2)-action on the Tangent Bundle

We study manifolds arising as spaces of sections of complex manifolds fibering over CP 1 with the normal bundle of each section isomorphic to O(k)⊗ Cn. Any hypercomplex manifold can be constructed as a space of sections of a complex manifold Z fibering over CP . The normal bundle of each section must be the sum of O(1)’s, and this suggests that interesting geometric structures can be obtained i...

0 Ricci flow on Kähler manifolds

Ricci Flow on Kähler-einstein Manifolds

The Kähler - Ricci flow on Kähler manifolds with 2 traceless bisectional curvature operator