{"title":"模空间 $${\\overline{{\\mathcal {M}}} 上魏尔-彼得森度量的平均标量曲率估计值}}_g$$","authors":"Georg Schumacher, Stefano Trapani","doi":"10.1007/s00229-023-01523-1","DOIUrl":null,"url":null,"abstract":"<p>We give a precise estimate for the average scalar curvature of the Weil–Petersson metric on the moduli space <span>\\({\\overline{{{\\mathcal {M}}} }}_g\\)</span> as <span>\\(g\\rightarrow \\infty \\)</span> up to the order <span>\\(1/g^2\\)</span>.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimates for the average scalar curvature of the Weil–Petersson metric on the moduli space $${\\\\overline{{{\\\\mathcal {M}}} }}_g$$\",\"authors\":\"Georg Schumacher, Stefano Trapani\",\"doi\":\"10.1007/s00229-023-01523-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We give a precise estimate for the average scalar curvature of the Weil–Petersson metric on the moduli space <span>\\\\({\\\\overline{{{\\\\mathcal {M}}} }}_g\\\\)</span> as <span>\\\\(g\\\\rightarrow \\\\infty \\\\)</span> up to the order <span>\\\\(1/g^2\\\\)</span>.\\n</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-12-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00229-023-01523-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00229-023-01523-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Estimates for the average scalar curvature of the Weil–Petersson metric on the moduli space $${\overline{{{\mathcal {M}}} }}_g$$
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 \(1/g^2\).
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
