Acta Mathematica Sinica

, Volume 19, Issue 4, pp 671–678

Surfaces with Vanishing Moebius Form in Sn



An important Moebius invariant in the theory of Moebius surfaces in Sn is the so-called Moebius form. In this paper, we give a complete classification of surfaces in Sn with vanishing Moebius form under the Moebius transformation group.


Conformal invariants Moebius form Minimal surfaces 

MR (2000) Subject Classification

53A30 53C42 53A10 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Department of Mathematical SciencesTsinghua UniversityBeijingP. R. China
  2. 2.School of Mathematical Sciences (LMAM)Peking UniversityBeijingP. R. China

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