Logo Logo
Help
Contact
Switch Language to German
Mazzeo, Rafe; Swoboda, Jan (2017): Asymptotics of the Weil-Petersson Metric. In: International Mathematics Research Notices, No. 6: pp. 1749-1786
Full text not available from 'Open Access LMU'.

Abstract

Weconsider the Riemann moduli spaceM. of conformal structures on a compact surface of genus. > 1 together with its Weil- Petersson metric gWP. Our main result is that gWP admits a complete polyhomogeneous expansion in powers of the lengths of the short geodesics up to the singular divisors of the Deligne- Mumford compactification ofM.