# Optimal asymptotic of the $J$ functional with respect to the $d_1$ metric

7 Jan 2021  ·  Tamás Darvas, Erin George, Kevin Smith ·

We obtain sharp inequalities between the large scale asymptotic of the $J$ functional with respect to the $d_1$ metric on the space of Kahler metrics. Applications regarding the initial value problem for geodesic rays are presented.

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Differential Geometry Complex Variables