De Sitter空间S_p^(2+p)(1)中的类空曲面

On Space-like Surfaces in de Sitter Space S_p^(2+p)(1)

设M为de Sitter空间Sp2+p(1)中具有非负常曲率和平行平均曲率向量的完备类空曲面,则它与S31(1)中的球面、欧氏平面、双曲柱面等距.

Let M be a complete space-like surface in de Sitter space S^(2+p)_p(1)with parallel mean curvature vector H and constant nonnegative curvature,then it is isometric to a sphere or an Euclidean plane or a hyperbolic cylinder in S^3_1(1).