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A centro-projective inequality - MaRDI portal

A centro-projective inequality (Q2331822)

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A centro-projective inequality
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    A centro-projective inequality (English)
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    30 October 2019
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    The authors provide a new integral formula for the centro-projective area of a convex body, that turns out to be bounded from above by the centro-projective area of an ellipsoid and that equality occurs if and only if the involved convex set is an ellipsoid. A very brief section on centro-projective invariance comes next, followed by some comments and open questions regarding an application in Hilbert geometries.
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    centro-projective areas
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    convex bodies
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    ellipsoids
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    Hilbert geometries
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