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.
Hein, Hans-Joachim | Professorship of theoretical mathematics (Prof. Hein) |
Zeidler, Rudolf | Professur für Theoretische Mathematik (Prof. Bartels) |
Hein, Hans-Joachim | Professorship of theoretical mathematics (Prof. Hein) |
Zeidler, Rudolf | Professur für Theoretische Mathematik (Prof. Bartels) |