Geodesic
A minimax inequality for inscribed cones revisited
Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 215-221

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DOI

In 1993, E. Lutwak established a minimax inequality for inscribed cones of origin symmetric convex bodies. In this work, we re-prove Lutwak’s result using a maxmin inequality for circumscribed cylinders. Furthermore, we explore connections between the maximum volume of inscribed double cones of a centered convex body and the minimum volume of circumscribed cylinders of its polar body.
DOI : 10.4153/S000843952300067X
Mots-clés : Blaschke–Santaló inequality, circumscribed cylinder, cross-sectional measures, inscribed cone, isoperimetrix, projection body 
Mustafaev, Zokhrab. A minimax inequality for inscribed cones revisited. Canadian mathematical bulletin, Tome 67 (2024) no. 1, pp. 215-221. doi: 10.4153/S000843952300067X
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