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Some Characterizations of Rectifying Curves in the Euclidean Space E4
Rectifying curve Frenet equations curvature
2006/9/21
In this paper, we define a rectifying curve in the Euclidean 4-space as a curve whose position vector always lies in orthogonal complement N\perp of its principal normal vector field N. In particular,...
Some Graph Type Hypersurfaces in a Semi-Euclidean Space
graph lightlike hypersurface minimal semi-Euclidean space totally geodesic
2000/1/20
We consider some graph type hypersurfaces in a semi-Euclidean space \Bbb Rn+1q and give conditions of the dimension n+1 and the index q when a hypersurface is lightlike, totally geodesic and minimal.