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Abstract <p>This discussion explores the measure associated with a convex surface and its limit cone. In three-dimensional Euclidean space, a convex surface at infinity tends toward a cone of rotation, referred to as the limit cone. The boundedness of the difference between the area of the convex surface and that of the limit cone is established as a whole. The proof utilizes the flat sections of the surface, formed by intersecting planes that pass through the cone’s axis of symmetry.</p>

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A Measure Associated with a Convex Surface and Its Limit Cone

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • A. Ashyralyev,
  • A. Artikbayev

摘要

Abstract

This discussion explores the measure associated with a convex surface and its limit cone. In three-dimensional Euclidean space, a convex surface at infinity tends toward a cone of rotation, referred to as the limit cone. The boundedness of the difference between the area of the convex surface and that of the limit cone is established as a whole. The proof utilizes the flat sections of the surface, formed by intersecting planes that pass through the cone’s axis of symmetry.