Explicit Solutions to the mean field equations on hyperelliptic curves of genus two

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Let X be a complex hyperelliptic curve of genus two equipped with the canonical metric ds2. We study mean field equations on complex hyperelliptic curves and show that the Gaussian curvature function of (X,ds2) determines an explicit solution to a mean field equation.

Original languageEnglish
Pages (from-to)173-186
Number of pages14
JournalDifferential Geometry and its Application
Volume56
DOIs
Publication statusPublished - 2018 Feb 1

Fingerprint

Mean Field Equation
Hyperelliptic Curves
Explicit Solution
Genus
Total curvature
Metric

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology
  • Computational Theory and Mathematics

Cite this

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title = "Explicit Solutions to the mean field equations on hyperelliptic curves of genus two",
abstract = "Let X be a complex hyperelliptic curve of genus two equipped with the canonical metric ds2. We study mean field equations on complex hyperelliptic curves and show that the Gaussian curvature function of (X,ds2) determines an explicit solution to a mean field equation.",
author = "Jia-Ming Liou",
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Explicit Solutions to the mean field equations on hyperelliptic curves of genus two. / Liou, Jia-Ming.

In: Differential Geometry and its Application, Vol. 56, 01.02.2018, p. 173-186.

Research output: Contribution to journalArticle

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