Scalar curvature between Kähler and spin (B05)

Subject Area Mathematics
Term since 2021
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 427320536
 

Project Description

This project aims to connect recent developments in Kähler geometry and spin geometry related to lower scalar curvature bounds and the Positive Mass Theorem. We would like to sharpen the Cecchini-Zeidler bandwidth inequality in the case of Kähler metrics and to find new proofs and extensions of the Positive Mass Theorem. One setting of interest is the case of spin^c manifolds equipped with almost-Kähler metrics, particularly in real dimension 4.
DFG Programme Collaborative Research Centres
Subproject of SFB 1442:  Geometry: Deformations and Rigidity
Applicant Institution Universität Münster
Project Heads Professor Dr. Hans-Joachim Hein, since 7/2021; Dr. Bianca Santoro, from 7/2021 until 6/2024; Professor Dr. Rudolf Zeidler, since 7/2024