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

2017/03/03 by Muhittin Evren Aydın, Aydin, Muhittin Evren, Mihriban Külahcı +3
Mathematics · Physics and Astronomy · #53A35 #53B25 #53B30 #53C42 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1703.01070

openalex publication_date 2017/03/03 · openalex created_date 2017/03/16 · openalex updated_date 2026/07/28

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.

Citations

• Translation and homothetical surfaces in Euclidean space with constant curvature

Related

• Affine Factorable Surfaces in Pseudo-Galilean Space
• Constant curvature factorable surfaces in 3-dimensional isotropic space
• Classification of separable surfaces with constant Gaussian curvature
• Affine factorable surfaces in isotropic spaces
• Constant curvature translation surfaces in Galilean 3-space