S^n中Moebius形式为零的曲面

Surfaces with Vanishing Moebius Form in S^n

本文证明了Sn中Moebius形式为零且法丛平坦的曲面的余维数约化定理,并且给出了这类曲面的分类.在此基础上,进一步给出了Sn中Moebius形式为零的曲面的分类.

In this paper, we prove the reduction of codinemsion for the surfaces in Sn with vanishing Moebius form and flat Moebius normal bundle, and classify this sort of surfaces. Moreover, we also give a classification of the surfaces with vanishing Moebius form in Sn.