Nearly Kähler geometry

• Applicant: Professor Dr. Uwe Semmelmann
• Subject Area: Mathematics
• Term: from 2003 to 2009
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5406787

Nearly and almost Kähler manifolds form important classes of almost Hermitian manifolds. They were studied for many years. However, an application of nearly Kähler manifolds in string theory led to a renewed interest in recent years. Aim of the proposed project is a study of nearly and almost Kähler manifolds, which should approach a classification of nearly Kähler manifolds in dimension 6 and a classification of almost Kähler manifolds under additional curvature conditions. The study of these two geometries is unified by the consideration of the canonical Hermitian connection and its properties.

• DFG Programme: Priority Programmes
• Subproject of: SPP 1154: Global Differential Geometry