Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms. (English) Zbl 1183.53050
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.
Reviewer: Sorin Dumitrescu (Orsay)
MSC:
| 53C40 | Global submanifolds |
| 53C50 | Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
Citations:
Zbl 1214.53021References:
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