Liouville Action for Harmonic Diffeomorphisms
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 ≥ 2. We derive the variational formula of this Liouville action for harmonic diffeomorphisms when the source Riemann surfaces vary with a fixe...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211430 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Liouville Action for Harmonic Diffeomorphisms. Jinsung Park. SIGMA 17 (2021), 097, 16 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862685042771230720 |
|---|---|
| author | Park, Jinsung |
| author_facet | Park, Jinsung |
| citation_txt | Liouville Action for Harmonic Diffeomorphisms. Jinsung Park. SIGMA 17 (2021), 097, 16 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 ≥ 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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| first_indexed | 2026-03-17T10:46:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211430 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-17T10:46:37Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Park, Jinsung 2026-01-02T08:31:31Z 2021 Liouville Action for Harmonic Diffeomorphisms. Jinsung Park. SIGMA 17 (2021), 097, 16 pages 1815-0659 2020 Mathematics Subject Classification: 14H60; 32G15; 53C43; 58E20 arXiv:2105.11074 https://nasplib.isofts.kiev.ua/handle/123456789/211430 https://doi.org/10.3842/SIGMA.2021.097 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 ≥ 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. This work was partially supported by Samsung Science and Technology Foundation under Project Number SSTF-BA1701-02. The author thanks referees for their helpful comments and suggestions, which improve the exposition of the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Liouville Action for Harmonic Diffeomorphisms Article published earlier |
| spellingShingle | Liouville Action for Harmonic Diffeomorphisms Park, Jinsung |
| title | Liouville Action for Harmonic Diffeomorphisms |
| title_full | Liouville Action for Harmonic Diffeomorphisms |
| title_fullStr | Liouville Action for Harmonic Diffeomorphisms |
| title_full_unstemmed | Liouville Action for Harmonic Diffeomorphisms |
| title_short | Liouville Action for Harmonic Diffeomorphisms |
| title_sort | liouville action for harmonic diffeomorphisms |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211430 |
| work_keys_str_mv | AT parkjinsung liouvilleactionforharmonicdiffeomorphisms |