In this article, surfaces are studied that arise from taking the tensor product of two curves. More precisely, the classication of minimal tensor product surfaces of two arbitrary curves in pseudo-Euclidean spaces is obtained. This main result generalizes several previously known partial results...

It is shown that every translation lightlike and every homothetical lightlike hypersurface in a semi-Euclidean space is a hyperplane. As a consequence, both translation and homothetical lightlike hypersurfaces are minimal.

As is well-known, surfaces in a 3-dimensional Euclidean Space can be represented locally by means of several types of equations. Although these are mathematically equivalent, this choice of representation can make a difference when it comes to visualizing the surface. More precisely, some...

In this paper, we derive a classification of translation surfaces in the 3-dimensional Euclidean and Minkowski space, satisfying the Weingarten condition. Even though the family of translation surfaces is one of the simplest to consider, obtaining this classification is far from trivial and...

In this article, surfaces are studied that arise from taking the tensor product of two curves. More specific, classification theorems are presented of flat tensor product surfaces of two semi-Euclidean planar curves. Also, using pseudospherical curves, pseudohyperbolical curves and curves having...