The spacelike surface with parallel mean curvature vector in R3,1R3,1

In the present paper, we give the isometric deformation reserving mean curvature vector and the Bryant [R. Bryant, Surface of mean curvature one in hyperbolic space, Asterisque 154–155 (1987) 321–347] type representation for the spacelike surfaces with parallel mean curvature vector in R3,1R3,1 by the theory and method of integrable system.