Abstract
In this study, we construct one-parameter families of new extrinsic differential geometries on spacelike submanifolds of codimension two in Lorentz–Minkowski space. Moreover, we give our previous results as special cases of these spacelike submanifolds of codimension two. Furthermore, we investigate spacelike curves in Lorentz–Minkowski 3-space from different viewpoints as another special case.
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