Slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski space

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. (C) 2015 Elsevier B.V. All rights reserved.