Thomas Franzinetti (Sorbonne Université)
17:30 - 18:30 Zoom
11 February 2021

Mabuchi Geometry of the Space of Kähler/Sasaki Potentials


Given a compact Kähler (resp. Sasakian) manifold, one can endow the space of Kähler (resp. Sasakian) potentials with a so called Mabuchi metric. We show that its metric completion is negatively curved in the sense of Alexandrov.

Slides of the talk