Positive scalar curvature at the intersection of global analysis, geometric topology and coarse geometry

• Antragsteller: Professor Dr. Bernhard Hanke; Professor Dr. Thomas Schick
• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2007 bis 2008
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 43044978

This project deals with the investigation of Riemannian metrics of positive scalar curvature on smooth manifolds, on manifolds with groups actions and on orbifolds. Obstructions to the existence of such metrics, and the topology of the space of positive scalar curvature metrics (if non-empty) are particular questions in this context. Special attention will be paid to the interaction of methods from differential geometry, global analysis, algebraic topology and coarse geometry. The positive scalar curvature question will also be a motivation to investigate other problems that are of interest in these specific areas, independently of the positive scalar curvature question.

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