Physical and Mathematical Sciences | Conference paper | Published 2021-05-25

SPECIAL MEAN AND TOTAL CURVATURE OF A DUAL SURFACE IN ISOTROPIC SPACES

Authors:
Collection: International Online Conference Algebraic and Geometric Methods of Analysis
Keywords: Isotropic space, mean curvature, total curvature, dual surface, special mean curvature, special total curvature

Abstract

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.

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