A different expression of the Weil–Petersson potential on the Quasi-Fuchsian deformation space
We extend a definition of the Weil-Petersson potential on the universal Teichmuller space to the quasi-Fuchsian deformation space. We prove that up to a constant, this function coincides with the Weil-Petersson potential on the quasi-Fuchsian deformation space. As a result, we prove a lower bound fo...
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| Format: | Article |
| Language: | English |
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Springer Netherlands
2005
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| Online Access: | http://shdl.mmu.edu.my/2181/ http://shdl.mmu.edu.my/2181/1/A%20Different%20Expression%20of%20the%20Weil%E2%80%93Petersson%20Potential%20on%20the%20Quasi-Fuchsian%20Deformation%20Space.pdf |
| _version_ | 1848789986246131712 |
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| author | Teo, Lee-Peng |
| author_facet | Teo, Lee-Peng |
| author_sort | Teo, Lee-Peng |
| building | MMU Institutional Repository |
| collection | Online Access |
| description | We extend a definition of the Weil-Petersson potential on the universal Teichmuller space to the quasi-Fuchsian deformation space. We prove that up to a constant, this function coincides with the Weil-Petersson potential on the quasi-Fuchsian deformation space. As a result, we prove a lower bound for the potential on the quasi-Fuchsian deformation space. |
| first_indexed | 2025-11-14T18:05:26Z |
| format | Article |
| id | mmu-2181 |
| institution | Multimedia University |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T18:05:26Z |
| publishDate | 2005 |
| publisher | Springer Netherlands |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | mmu-21812014-01-28T03:12:37Z http://shdl.mmu.edu.my/2181/ A different expression of the Weil–Petersson potential on the Quasi-Fuchsian deformation space Teo, Lee-Peng QC Physics We extend a definition of the Weil-Petersson potential on the universal Teichmuller space to the quasi-Fuchsian deformation space. We prove that up to a constant, this function coincides with the Weil-Petersson potential on the quasi-Fuchsian deformation space. As a result, we prove a lower bound for the potential on the quasi-Fuchsian deformation space. Springer Netherlands 2005-10 Article NonPeerReviewed text en http://shdl.mmu.edu.my/2181/1/A%20Different%20Expression%20of%20the%20Weil%E2%80%93Petersson%20Potential%20on%20the%20Quasi-Fuchsian%20Deformation%20Space.pdf Teo, Lee-Peng (2005) A different expression of the Weil–Petersson potential on the Quasi-Fuchsian deformation space. Letters in Mathematical Physics, 73 (2). pp. 91-107. ISSN 0377-9017 http://dx.doi.org/10.1007/s11005-005-0004-z doi:10.1007/s11005-005-0004-z doi:10.1007/s11005-005-0004-z |
| spellingShingle | QC Physics Teo, Lee-Peng A different expression of the Weil–Petersson potential on the Quasi-Fuchsian deformation space |
| title | A different expression of the Weil–Petersson potential on the Quasi-Fuchsian deformation space |
| title_full | A different expression of the Weil–Petersson potential on the Quasi-Fuchsian deformation space |
| title_fullStr | A different expression of the Weil–Petersson potential on the Quasi-Fuchsian deformation space |
| title_full_unstemmed | A different expression of the Weil–Petersson potential on the Quasi-Fuchsian deformation space |
| title_short | A different expression of the Weil–Petersson potential on the Quasi-Fuchsian deformation space |
| title_sort | different expression of the weil–petersson potential on the quasi-fuchsian deformation space |
| topic | QC Physics |
| url | http://shdl.mmu.edu.my/2181/ http://shdl.mmu.edu.my/2181/ http://shdl.mmu.edu.my/2181/ http://shdl.mmu.edu.my/2181/1/A%20Different%20Expression%20of%20the%20Weil%E2%80%93Petersson%20Potential%20on%20the%20Quasi-Fuchsian%20Deformation%20Space.pdf |