Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 44, 2019, 15-28

SMOOTHNESS AND STRONGLY PSEUDOCONVEXITY OF p-WEIL–PETERSSON METRIC

Masahiro Yanagishita

Yamaguchi University, Graduate School of Sciences and Technology for Innovation 2-16-1, Department of Applied Science
Tokiwadai, Ube-shi, Yamaguchi, 755-8611, Japan; myngsht 'at' yamaguchi-u.ac.jp

Abstract. This paper deals with the smoothness and strongly pseudoconvexity of p-Weil–Petersson metric. This metric is a complex Finsler metric on the p-integrable Teichmüller space of a Riemann surface satisfying Lehner's condition, which is an extended concept of the Weil–Petersson metric on the square integrable Teichmüller space.

2010 Mathematics Subject Classification: Primary 30F60; Secondary 32G15, 30C60.

Key words: Teichmüller space, p-integrable Teichmüller space, Weil–Petersson metric, complex Finsler metric.

Reference to this article: M. Yanagishita: Smoothness and strongly pseudoconvexity of p-Weil–Petersson metric. Ann. Acad. Sci. Fenn. Math. 44 (2019), 15-28.

Full document as PDF file

https://doi.org/10.5186/aasfm.2019.4413