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关于一阶和二阶多项式度量

张孝天, 吴英毅   

  1. 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

On degree one and degree two polynomial metrics*

ZHANG Xiaotian, WU Yingyi   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2026-01-12 Revised:2026-03-24
  • Contact: E-mail: wuyy@ucas.ac.cn
  • 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。

关键词: HCMU度量, CSC-1 度量, 多项式度量

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.

Key words: HCMU metric, CSC-1 metric, polynomial metric

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