Nearly Kähler geometry

• Antragsteller: Professor Dr. Uwe Semmelmann
• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2003 bis 2009
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 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-Verfahren: Schwerpunktprogramme
• Teilprojekt zu: SPP 1154: Globale Differentialgeometrie