Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms
The author classifies spatial surfaces with parallel mean curvature vector in pseudo-Riemannian space forms with non-vanishing curvature. Together with a previous paper of the author [Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension. J. Math. Phys. 50, No. 4, Paper No. 043504 (2009; Zbl 1214.53021)], this achieves the complete classification of spatial surfaces with parallel mean curvature vector in all pseudo-Riemannian space forms.
scientific article; zbMATH DE number 5637492
scientific article