Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (1): 46-51.

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The Pseudo-umbilical Surfaces in R4 and Their Gauss Maps 

  

  1.  中国科学技术大学数学系 安徽合肥230026 
  • Received:2000-09-20 Online:2001-03-30 Published:2024-06-24
  • About author:XU Zhi-cai(1958-),male,Shouxian,Anhui,a professor of Huainan Institute of Technology,engages in differential geometry;XU Sen-lin(1941-),male,native of Wuxian,Jiangsu,a professor of University of Science and Technology of China,engages in differential geometry and topology.
  • Supported by:
    Supported by the National Natural Science Foundation of China(19971081)

Abstract: 本文研究了伪脐曲面M的一些性质 ,基于它并利用M的Gauss映射 ,给出了M作为R4中平坦环面的一个充分条件 . 

Key words: 伪脐曲面, 全平均曲率, Gauss映射, 环面,  ,

CLC Number: