Isothermal Coordinate System on Surfaces of Revolution

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.

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Publication Details

Journal
Moscow University Mathematics Bulletin
Published
2025-04-01
DOI
https://doi.org/10.3103/s0027132225700299
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

Isothermal Coordinate System on Surfaces of Revolution

I. Kh. Sabitov
Moscow University Mathematics Bulletin
Advanced Mathematical Modeling in Engineering
article

Isothermal Coordinate System on Surfaces of Revolution

I. Kh. Sabitov
article en

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.

Moscow University Mathematics BulletinVol. 80(2)
Lomonosov Moscow State University (RU)
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Openalex Percentile: Top 81%
Advanced Mathematical Modeling in Engineering
DOISourceOpenAlex
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Isothermal Coordinate System on Surfaces of Revolution — I. Kh. Sabitov · Moscow University Mathematics Bulletin (2025) | TGRS Research Map | TGRS