Abstract <p>A method for presenting the metric of surface in its isothermal form is described with a study of analytical properties of the obtained form. A simple formula for the integral Gauss curvature by the first derivatives of the meridian curve at its boundary points is given.</p>

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Isothermal Coordinate System on Surfaces of Revolution

  • I. Kh. Sabitov

摘要

Abstract

A method for presenting the metric of surface in its isothermal form is described with a study of analytical properties of the obtained form. A simple formula for the integral Gauss curvature by the first derivatives of the meridian curve at its boundary points is given.