Rotational surfaces in isotropic spaces satisfying weingarten conditions

Abstract

In this paper, we study the rotational surfaces in the isotropic 3-space 𝕀3 satisfying Weingarten conditions in terms of the relative curvature K (analogue of the Gaussian curvature) and the isotropic mean curvature H. In particular, we classify such surfaces of linear Weingarten type in 𝕀3.

Keywords

• isotropic space
• rotational surface
• weingarten surface
• 02.40.dr
• 02.40.hw