在本文，我们证明２维黎曼流形能实现为Ｌ３中的类空极大曲面的充要条件是相应的Ｒｉｃｃｉ条件成立，此外还确定了Ｌ３中其平均曲率向量ｈ满足条件△ｈ＝λｈ（λ∈Ｒ）的类空曲面

In this paper we prove that there exists a Ricci condition such that a 2-dimensional Riemannian manifold can be realized as a spacelike maximal surface in L3, and show that the spacelike surface in L3 whose mean curvature vector h satisfies △ｈ＝λｈ for some λ∈Ｒ is a hyperboloid or a cylinder up to a Lorentz motion in L3.