Chinese Quarterly Journal of Mathematics ›› 1994, Vol. 9 ›› Issue (1): 71-77.

Previous Articles     Next Articles

Some Global Theorems on Closed Surfaces With Qenus Zero in E3

  

  1. 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

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

CLC Number: