Yamabe type problems and their applications (A07)

• Subject Area: Mathematics
• Term: from 2010 to 2013
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 64447639

Motivated by the Yamabe problem, we want to find a "good" or "best" metric in a conformal class or in a transversal conformal class. Here by a good metric in a conformal class we mean a conformal metric with constant 2-scalar curvature, while by a good metric in a transversal conformal metric we mean a transversal metric with constant transversal metric. The first problem involves a fully nonlinear equation and the second a critical transversal elliptic equation.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 71: Geometric Partial Differential Equations
• Applicant Institution: Albert-Ludwigs-Universität Freiburg
• Project Head: Professor Dr. Guofang Wang