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Isoperimetric inequalities for sectors on surfaces - MaRDI portal

Isoperimetric inequalities for sectors on surfaces (Q5929039)

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scientific article; zbMATH DE number 1588029
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Isoperimetric inequalities for sectors on surfaces
scientific article; zbMATH DE number 1588029

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    Isoperimetric inequalities for sectors on surfaces (English)
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    17 April 2001
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    We discuss sectors on a surface of curvature bounded above by a constant and derive an isoperimetric inequality for a proper sector on such a surface. With this isoperimetric inequality we derive an inequality involving the total length of the cut locus of a point on a closed surface.
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    curvature bounded above
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    isoperimetric inequality
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    cut locus
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