L^3中类空曲面的高斯映射

GAUSS MAP OF SPACELIKE SURFACE IN L￣3

对Ｌ~３中类空曲面，Ａｋｕｔａｇａｗａ和Ｎｈｈｉｋａｗａ得到由平均曲率函数和高斯映射决定的一个表示公式。我们证明Ａｋｕｔａｇａｗａ和Ｎｉｓｈｉｋａｗａ的表示公式实际上仅由高斯映射决定。

For a spacelike surface in Minkowski 3-space L￣3 , Akutagawa and Nishikawa got arepresentation formula which is decided by its mean curvature function and Gauss map.We provethat Akutagawa and Nishikawa's representation formula is actually decided only by Gauss map.