@article{article_972370, title={Special Mean and Total Curvature of a Dual Surface in Isotropic Spaces}, journal={International Electronic Journal of Geometry}, volume={15}, pages={1–10}, year={2022}, DOI={10.36890/iejg.972370}, author={Artykbaev, Abdullaaziz and Ismoilov, Sherzodbek}, keywords={Isotropic space, mean curvature, total curvature, dual surface, special mean curvature, special total curvature}, abstract={The study of the geometry surfaces in spaces with a degenerate metric is one of the urgent problems of modern geometry since its results find numerous applications in problems of mechanics and quantum mechanics. <br /> <br />In this paper, we study the properties of the total and mean curvatures of a surface and its dual image in an isotropic space. We prove the equality of the mean curvature and the second quadratic forms. The relation of the mean curvature of a surface to its dual surface is found. The superimposed space method is used to investigate the geometric characteristics of a surface relative to the normal and special normal.}, number={1}, publisher={Kazım İlarslan}, organization={Tashkent State Transport University}