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›› 2014, Vol. 31 ›› Issue (2): 155-159.DOI: 10.7523/jssn.2095-6134.2014.02.002

• Research Articles • Previous Articles     Next Articles

Conformal minimal two-spheres in Q3

WANG Jun1, ZHONG Xu2   

  1. 1. School of Mathematics, Nanjing Normal University, Nanjing 210023, China;
    2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2013-03-15 Revised:2013-05-23 Online:2014-03-15
  • Supported by:

    Supported by the NSFC(11301273),Doctoral Discipline Foundation for Young Teachers in the Higher Education Institution of Ministry of Education(20123207120002),and Natural Science Research of Jiangsu Higher Education Institutions of China(12KJD110004)

Abstract:

In this paper, we study minimal two-spheres in Q3 by harmonic sequence, and we obtain four classes of linearly full minimal two-spheres with constant curvature. Although they are also minimal in CP4, their geometric properties are different.

Key words: Gauss curvature, hyperquadric, harmonic sequence, Kähler angle, minimal two-spheres

CLC Number: