Original scientific paper

On certain surfaces in the isotropic 4-space

Evren Muhittin Aydin ; Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey
Ion Mihai ; Department of Mathematics, Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania

Abstract

The isotropic space is a special ambient space obtained from the Euclidean space by substituting the usual Euclidean distance with the isotropic distance. In the present paper, we establish a method to calculate the second fundamental form of surfaces
in the isotropic 4-space. Further, we classify some surfaces (spherical product surfaces and Aminov surfaces) in the isotropic 4-space with vanishing curvatures.

Keywords

Isotropic 4-space; Aminov surface; spherical product surface; isotropic mean curvature; relative curvature

Hrčak ID:

176710

URI

https://hrcak.srce.hr/176710

Publication date:

4.4.2017.

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