论文标题
lie基团的翻译表面，具有恒定的高斯曲率
Translation surfaces in Lie groups with constant Gaussian curvature
论文作者
论文摘要
令G为带有双重不变的Riemannian度量的N维谎言组（n> 2）。我们证明，如果可以将G中恒定的高斯曲率表面表示为两条曲线的乘积，则必须是平坦的。特别是，我们可以在三维情况下在本地表征所有此类表面。
Let G be a n-dimensional Lie group (n>2) with a bi-invariant Riemannian metric. We prove that if a surface of constant Gaussian curvature in G can be expressed as the product of two curves, then it must be flat. In particular, we can essentially characterize all such surfaces locally in 3-dimensional case.
