论文标题
Minkowski 3空间中凸的整个表面的完整性
Completeness of convex entire surfaces in Minkowski 3-space
论文作者
论文摘要
我们证明了四个结果，从空支持函数的描述中，双曲线平面的一组嵌入到Minkowski 3空间中。我们表明，对于足够驯服的无效支持函数，恒定曲率-1的相应整个表面已完成，并且对于足够尖锐的无效支持函数，它是不完整的。我们的结果也适用于曲率仅界限的整个表面。
We prove four results towards a description, in terms of the null support function, of the set of isometric embeddings of the hyperbolic plane into Minkowski 3-space. We show that for sufficiently tame null support function, the corresponding entire surface of constant curvature -1 is complete, and for sufficiently sharp null support function, it is incomplete. Our results apply also to entire surfaces whose curvature is merely bounded.
