Minimal Hypersurfaces and Scalar Curvature (B 07)

• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2007 bis 2009
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 5482091

The aim is to analyze scalar curvature by means of minimal hypersurfaces. This had been pioneered by Schoen and Yau in the late seventies but then the development was partially stuck in analytic problems that occur if one tries to extend and deepen the results already in dimensions > 3 and even more seriously in dim > 8. Very recently our group set up a geometric machinery to extend the methods to arbitrary dimensions. We want to further exploit and refine these new techniques.

• DFG-Verfahren: Sonderforschungsbereiche
• Teilprojekt zu: SFB 478: Geometrische Strukturen in der Mathematik
• Antragstellende Institution: Universität Münster
• Teilprojektleiter: Professor Dr. Joachim Lohkamp