Non-zero constant curvature factorable surfaces in pseudo-Galilean space

TL;DR

This paper classifies factorable surfaces in pseudo-Galilean space that have non-zero Gaussian and mean curvature, expanding understanding beyond previously studied zero-curvature cases.

Contribution

It provides new classification results for factorable surfaces with non-zero Gaussian and mean curvature in pseudo-Galilean space.

Findings

Classification of factorable surfaces with non-zero curvature

Extension of previous zero-curvature results

New geometric properties identified

Abstract

Factorable surfaces, i.e. graphs associated with the product of two functions of one variable, constitute a wide class of surfaces. Such surfaces in the pseudo-Galilean space with zero Gaussian and mean curvature were obtained in [1]. In this study, we provide new classification results relating to the factorable surfaces with non-zero Gaussian and mean curvature.