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

Erin George; Kevin Smith; Tam\'as Darvas

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

Optimal asymptotic of the J functional with respect to the d₁ metric

Tam\'as Darvas , Erin George , Kevin Smith This is my paper

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classification math.DG math.CV

keywords asymptoticfunctionalmetricrespectapplicationsgeodesicinequalitiesinitial

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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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Optimal asymptotic of the J functional with respect to the d₁ metric

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