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Isoperimetric inequality for disconnected regions - MaRDI portal

Isoperimetric inequality for disconnected regions (Q6647733)

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scientific article; zbMATH DE number 7953340
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Isoperimetric inequality for disconnected regions
scientific article; zbMATH DE number 7953340

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    Isoperimetric inequality for disconnected regions (English)
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    3 December 2024
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    The authors show the discrete isoperimetric inequality for disconnected regions in the hyperbolic plane. From the inequality follows that the regular \(n\)-gon has the largest area among all \(n\)-gons with a fixed perimeter.
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    hyperbolic geometry
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    polygon
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    perimeter
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    Gauss-Bonnet theorem
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    isoperimetric inequality
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