On certain surfaces in the isotropic 4-space

Evren Muhittin Aydin, Ion Mihai


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 the surfaces in the isotropic 4-space. Further, we classify some surfaces (the spherical product surfaces and Aminov surfaces) in the isotropic 4-space with vanishing curvatures.


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

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ISSN: 1331-0623 (Print), 1848-8013 (Online)