A different expression of the Weil-Petersson potential on the quasi-Fuchsian deformation space

DOI10.1007/s11005-005-0004-zzbMath1090.32005arXivmath/0508483OpenAlexW2058025533MaRDI QIDQ812967

Lee-Peng Teo

Publication date: 30 January 2006

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508483

zbMATH Keywords

Weil-Petersson metricuniversal Teichmüller spaceGrunsky operatorcocompact quasi-Fuchsian groupcritical Liouville actionquasi-Fuchsian deformation spaceWeil-Petersson potential

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items (1)

On the renormalized volume of hyperbolic 3-manifolds

Cites Work

• Kähler structures on K-orbits of the group of diffeomorphisms of the circle
• Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography

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