Estimates for the average scalar curvature of the Weil–Petersson metric on the moduli space $${\overline{{{\mathcal {M}}} }}_g$$

IF 0.5 4区数学 Q3 MATHEMATICS Manuscripta Mathematica Pub Date : 2023-12-10 DOI:10.1007/s00229-023-01523-1

Georg Schumacher, Stefano Trapani

引用次数: 0

Abstract

We give a precise estimate for the average scalar curvature of the Weil–Petersson metric on the moduli space ${\overline{{{\mathcal {M}}} }}_g$ as $g\rightarrow \infty $ up to the order $1/g^2$.

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模空间 $${\overline{{\mathcal {M}}} 上魏尔-彼得森度量的平均标量曲率估计值}}_g$$

我们给出了模空间 ${\overline{{\mathcal {M}}}}_g$ 上魏尔-彼得森度量的平均标量曲率的精确估计值，即 $g\rightarrow \infty $ 直到 $1/g^2$ 阶。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Manuscripta Mathematica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.

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