A survey of key results and open problems in the metric geometry of the space of Kähler metrics over the last ten years.
Boucksom, Monge-Amp` ere equations on complex manifolds with boundary, in: Complex Monge- Amp` ere equations and geodesics in the space of K¨ ahler metrics, V
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A decade of metric geometry in the space of K\"ahler metrics
A survey of key results and open problems in the metric geometry of the space of Kähler metrics over the last ten years.