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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-…
math.MG2003★ 1 cited
Convex Bodies of Constant Width and Constant Brightness
Ralph Howard
In 1926 S. Nakajima (= A. Matsumura) showed that any convex body in with constant width, constant brightness, and boundary of class is a ball. We show that the regular…