Non-completeness of Zograf-Takhtajan's Kähler metric for Teichmüller space of punctured Riemann surfaces

DOI10.1007/s002200050683zbMath0939.32012OpenAlexW1997622945MaRDI QIDQ1809232

Kunio Obitsu

Publication date: 16 December 1999

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

Full work available at URL: https://doi.org/10.1007/s002200050683

zbMATH Keywords

Teichmüller spaceQuillen metricWeil-Petersson metricKähler metricEisenstein-Maass series\(\overline\partial\)-operatorsnon-completeness

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

Related Items (6)

Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces ⋮ Grafting hyperbolic metrics and Eisenstein series ⋮ Harmonic differentials and infinite geodesic joining two punctures on a Riemann surface ⋮ Cusps and the family hyperbolic metric ⋮ The asymptotic behavior of the Takhtajan-Zograf metric ⋮ The asymptotic behavior of Eisenstein series and a comparison of the Weil-Petersson and the Zograf-Takhtajan metrics

This page was built for publication: Non-completeness of Zograf-Takhtajan's Kähler metric for Teichmüller space of punctured Riemann surfaces