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math.MG2004
Smooth convex Bodies with proportional projection functions
Ralph Howard, Daniel Hug
For a convex body and , the function assigning to any -dimensional subspace of , the -dimensional volume of the orthogonal project…
math.MG2004
A Generalized Affine Isoperimetric Inequality
Wenxiong Chen, Ralph Howard, Erwin Lutwak +2
A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-…