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Calabi metric on the space of k-Hessian potentials
Let $(X,ω)$ be a compact Kähler manifold of complex dimension $n$, and let $1\leq k\leq n$. We consider the space of smooth $k$-admissible potentials introduced in the study of the Hessian-cscK equation by Guo--Smith--Tong. The complex $k$-Hessian equation identifies this space, modulo constants, wi
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