Geodesic
Liouville Action for Harmonic Diffeomorphisms
Symmetry, integrability and geometry: methods and applications, Tome 17 (2021) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: quasi-Fuchsian group, harmonic diffeomorphism.
Mots-clés : Teichmüller space, Liouville action 
@article{SIGMA_2021_17_a96,
     author = {Jinsung Park},
     title = {Liouville {Action} for {Harmonic} {Diffeomorphisms}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2021},
     volume = {17},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a96/}
}
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Jinsung Park. Liouville Action for Harmonic Diffeomorphisms. Symmetry, integrability and geometry: methods and applications, Tome 17 (2021). http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a96/

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