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

Erin George; Kevin Smith; Tam\'as Darvas

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

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arxiv 2101.02589 v1 pith:COES3MEF submitted 2021-01-07 math.DG math.CV

Tamás Darvas , Erin George , Kevin Smith This is my paper

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keywords asymptoticfunctionalmetricrespectapplicationsgeodesicinequalitiesinitial

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abstract

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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