随机度量的标量曲率和q曲率

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2010-01-29 DOI:10.3934/ERA.2010.17.43

Y. Canzani, D. Jakobson, I. Wigman

引用次数: 5

摘要

研究了紧曲面上随机黎曼度量的高斯曲率，该曲面属于固定共形类;我们的问题是由比较引起的。接下来我们考虑标量曲率维$n>2$和随机黎曼度量的$Q$曲率的类似问题。

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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Scalar curvature and Q-curvature of random metrics

We study Gauss curvature for random Riemannian metrics on a compact surface, lying in a fixed conformal class; our questions are motivated by comparison geometry. We next consider analogous questions for the scalar curvature in dimension $n>2$, and for the $Q$-curvature of random Riemannian metrics.

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来源期刊

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007