Preprint 745-2002

Surfaces with vanishing Moebius form in $S^n$

Author(s) : Haizhong Li , Changping Wang

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 745-2002

MSC 2000

53C30 Homogeneous manifolds

53C42 Immersions

Abstract :
An important Moebius invariant in the theory of Moebius surfaces in $S^n$ is the so-called Moebius form. In this paper we give a complete classification of surfaces in $S^n$ with vanishing Moebius form under the Moebius transformation group.

Keywords : conformal invariants, Moebius form, minimal surfaces