Analytic aspects of almost Kähler manifolds

• Antragsteller: Professor Dr. Guofang Wang
• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2007 bis 2012
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 42963716

We study in this project a class of compatible metrics on symplectic manifolds, whose Ricci tensor commutes with its compatible almost complex structure and whose Hermitian scalar curvature is constant. It contains Kähler metrics with constant scalar curvature as a special subclass. We want to understand analytic and geometric aspects of such compatible metrics and hope to have applications in the direction of classifying (low-dimensional) symplectic manifolds.

• DFG-Verfahren: Schwerpunktprogramme
• Teilprojekt zu: SPP 1154: Globale Differentialgeometrie