Analytic aspects of almost Kähler manifolds

• Applicant: Professor Dr. Guofang Wang
• Subject Area: Mathematics
• Term: from 2007 to 2012
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 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 Programme: Priority Programmes
• Subproject of: SPP 1154: Global Differential Geometry