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arXiv · 2105.11074

Liouville Action for Harmonic Diffeomorphisms

Jinsung Park
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Abstract

In this paper, we introduce a Liouville action for a harmonic diffeomorphism from a compact Riemann surface to a compact hyperbolic Riemann surface of genus $g\ge 2$. We derive the variational formula of this Liouville action for harmonic diffeomorphisms when the source Riemann surfaces vary with a fixed target Riemann surface.

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Jinsung Park. 2021-05-24. Liouville Action for Harmonic Diffeomorphisms. https://doi.org/10.3842/sigma.2021.097

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