Periodic solutions of Abreu's equation

Renjie Feng; Gábor Székelyhidi

doi:10.4310/MRL.2011.v18.n6.a15

Periodic solutions of Abreu's equation

Renjie Feng^*, Gábor Székelyhidi

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We solve Abreu's equation with periodic right hand side, in any dimension. This can be interpreted as prescribing the scalar curvature of a torus invariant metric on an Abelian variety.

Original language	English (US)
Pages (from-to)	1271-1279
Number of pages	9
Journal	Mathematical Research Letters
Volume	18
Issue number	6
DOIs	https://doi.org/10.4310/MRL.2011.v18.n6.a15
State	Published - Nov 2011

ASJC Scopus subject areas

General Mathematics

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10.4310/MRL.2011.v18.n6.a15

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title = "Periodic solutions of Abreu's equation",

abstract = "We solve Abreu's equation with periodic right hand side, in any dimension. This can be interpreted as prescribing the scalar curvature of a torus invariant metric on an Abelian variety.",

author = "Renjie Feng and G{\'a}bor Sz{\'e}kelyhidi",

year = "2011",

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doi = "10.4310/MRL.2011.v18.n6.a15",

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JO - Mathematical Research Letters

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Periodic solutions of Abreu's equation

Abstract

ASJC Scopus subject areas

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