# L^1 metric geometry of big cohomology classes

31 Jan 2018 Darvas Tamás Di Nezza Eleonora Lu Chinh H.

Suppose $(X,\omega)$ is a compact K\"ahler manifold of dimension $n$, and $\theta$ is closed $(1,1)$-form representing a big cohomology class. We introduce a metric $d_1$ on the finite energy space $\mathcal{E}^1(X,\theta)$, making it a complete geodesic metric space... (read more)

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• DIFFERENTIAL GEOMETRY
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