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关于一阶和二阶多项式度量

  • 张孝天 ,
  • 吴英毅
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  • 中国科学院大学数学科学学院,北京 100049

收稿日期: 2026-01-12

  修回日期: 2026-03-24

  网络出版日期: 2026-03-26

On degree one and degree two polynomial metrics*

  • ZHANG Xiaotian ,
  • WU Yingyi
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  • School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2026-01-12

  Revised date: 2026-03-24

  Online published: 2026-03-26

Supported by

*CAS project for Young Scientists in Basic Research (Grant No. YSBR-001)

摘要

对于一个紧致黎曼面和该黎曼面上一个固定的第二类黎曼解析微,我们定义多项式度量,并且给出一阶和二阶多项式度量的分类和性质。

本文引用格式

张孝天 , 吴英毅 . 关于一阶和二阶多项式度量[J]. 中国科学院大学学报, 0 : 2026007 . DOI: 10.7523/j.ucas.2026.011

Abstract

For a compact Riemann surface and a fixed second type Riemann analytic 1-form on it, we define polynomial metrics, and then give the classification and properties on the cases of degree one and degree two.

参考文献

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