Article

PROPERTIES OF A DUAL SURFACE IN A MULTIDIMENSIONAL ISOTROPIC SPACE

Ismoilov Sherzodbek Shokirjon UgliBasic doctoral student of the Faculty of Mathematics, National University of Uzbekistan

Zenodo (CERN European Organization for Nuclear Research)repository2022en

ABI

Abstract

In the paper, we define an isotropic sphere in a multidimensional isotropic space, which is affine to be a paraboloid of rotation. We show the method that compares a point of the dual image to a plane to any hyperplane intersecting an isotropic sphere. It is determined the dual sphere to the surface contained within an isotropic sphere. It is studied the connection between the total curvatures of the surface and its dual image. We prove that the dual image of the dual surface coincides with the surface.

Topics

advanced mathematical theories Advanced Theoretical and Applied Studies in Material Sciences and Geometry Material Science and Thermodynamics

Identifiers

DOI: 10.5281/zenodo.7198959

Citations and references

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