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<p>The isoperimetric problem for hyperbolic hyperideal pyramids is studied. The pyramid corresponding to a critical point of the volume function uniquely maximizes the volume among hyperideal pyramids with the same type and surface area. The conditions for the existence of a critical point in the domain are also established.</p>

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The isoperimetric problem for hyperideal polyhedra, part II

  • 期刊论文

  • 发表日期：

    2025年12月27日

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  • Ren Guo

摘要

The isoperimetric problem for hyperbolic hyperideal pyramids is studied. The pyramid corresponding to a critical point of the volume function uniquely maximizes the volume among hyperideal pyramids with the same type and surface area. The conditions for the existence of a critical point in the domain are also established.