Mathematics – Differential Geometry
Scientific paper
2010-12-03
C. R. Acad. Bulgare Sci., 64 (2011)
Mathematics
Differential Geometry
8 pages
Scientific paper
We study the class of spacelike surfaces in the four-dimensional Minkowski space whose mean curvature vector at any point is a non-zero spacelike vector or timelike vector. These surfaces are determined up to a motion by eight invariant functions satisfying some natural conditions. The subclass of Chen surfaces is characterized by the condition one of these invariants to be zero. In the present paper we describe all Chen spacelike rotational surfaces of hyperbolic or elliptic type.
Ganchev Georgi
Milousheva Velichka
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