Some Global Theorems on Closed Surfaces With Qenus Zero in E3

数学季刊 ›› 1994, Vol. 9 ›› Issue (1): 71-77.

Some Global Theorems on Closed Surfaces With Qenus Zero in E³

Department of Mathematics and Mechanics,China University of Mining and Technology,Xuzhou,221008; Mathematics Department, Liaocheng Normal college,Lianocheng,252059

收稿日期:1992-12-20 出版日期:1994-03-30 发布日期:2025-05-13

Some Global Theorems on Closed Surfaces With Qenus Zero in E³

Department of Mathematics and Mechanics,China University of Mining and Technology,Xuzhou,221008; Mathematics Department, Liaocheng Normal college,Lianocheng,252059

Received:1992-12-20 Online:1994-03-30 Published:2025-05-13

摘要/Abstract

摘要： A Švec^[1] obtained some results on surfaces in B³by the method of quasi-analytic function. This paper gives several global properties on closed surfaces with qenus zero by the similar method, obtains the main result that a closed special Weingartan surface with qenus zero in E³is a sphere,gives two conditions for two surfaces with congrence property,and proves that there is not closed Bonnet surface with qenus zero.

关键词: qenus zero, closed surfaces

Abstract: A Švec^[1] obtained some results on surfaces in B³by the method of quasi-analytic function. This paper gives several global properties on closed surfaces with qenus zero by the similar method, obtains the main result that a closed special Weingartan surface with qenus zero in E³is a sphere,gives two conditions for two surfaces with congrence property,and proves that there is not closed Bonnet surface with qenus zero.

Key words: qenus zero, closed surfaces

中图分类号:

O174

周圣武, 刘金禄. Some Global Theorems on Closed Surfaces With Qenus Zero in E³[J]. 数学季刊, 1994, 9(1): 71-77.

Zhou Shengwu, Liu Jinlu. Some Global Theorems on Closed Surfaces With Qenus Zero in E³[J]. Chinese Quarterly Journal of Mathematics, 1994, 9(1): 71-77.

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Some Global Theorems on Closed Surfaces With Qenus Zero in E³

Some Global Theorems on Closed Surfaces With Qenus Zero in E³

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