On certain surfaces in the isotropic 4-space
Aydin, Evren Muhittin ; Mihai, Ion
Mathematical Communications, Tome 22 (2017) no. 1, p. 41-51 / Harvested from Mathematical Communications
Text on Mathematical Communications
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.
Publié le : 2017-02-17
Classification:  Isotropic 4-space, Aminov surface, spherical product surface, isotropic mean curvature, relative curvature,  53A35, 53A40, 53B25, 53C42 
@article{mc1389,
     author = {Aydin, Evren Muhittin and Mihai, Ion},
     title = {On certain surfaces in the isotropic 4-space},
     journal = {Mathematical Communications},
     volume = {22},
     number = {1},
     year = {2017},
     pages = { 41-51},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1389}
}

Aydin, Evren Muhittin; Mihai, Ion. On certain surfaces in the isotropic 4-space. Mathematical Communications, Tome 22 (2017) no. 1, pp.  41-51. http://gdmltest.u-ga.fr/item/mc1389/