Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms (Q2519319)

The authors study space-like Willmore surfaces in 4-dimensional Lorentzian space forms. They define two kinds of transforms for such space-like Willmore surfaces, (-) transform and (+) transform, which produce the left polar surface and right polar surface, and also the adjoint surfaces, these surfaces are also conformal Willmore surfaces. The duality theorem holds also for these surfaces. Finally the authors classify space-like Willmore 2-spheres and construct a family of homogeneous space-like Willmore tori.