Project Details
Projekt
Topological Aspects of Curvature Integrals (A04)
Subject Area
Mathematics
Term
since 2014
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 224262486
We use index theory to study the topology of the space of positive scalar curvature metrics and the space of initial data sets satisfying the dominant energy condition on closed manifolds. Relations between curvature integrals (e.g., the minimal volume, the Yamabe invariant) and positive scalar curvature metrics are explored.
DFG Programme
Collaborative Research Centres
Subproject of
SFB 1085:
Higher Invariants – Interactions between Arithmetic Geometry and Global Analysis
Applicant Institution
Universität Regensburg
Project Heads
Professor Dr. Bernd Eberhard Ammann; Professorin Dr. Clara Löh
