Research report 2004 - Max Planck Institute for Gravitational Physics
On Curvature, Heat, and Canonical Geometries - the Yamabe Flow as an example of efficiently applying Geometric Evolution Equations in Mathematics
Geometrische Analysis und Gravitation (Prof. Dr. Gerhard Huisken)
MPI für Gravitationsphysik, Golm
SummaryThis paper is a heuristic introduction into current mathematical research in differential geometry, which provided the basic framework for formulating Einstein’s theory of General Relativity. Specifically, recent results in the field of geometric evolution equations are described, which concern the so-called Yamabe flow.