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math.MG2021
Fixed points of Minkowski valuations
Oscar Ortega-Moreno, Franz E. Schuster
It is shown that for any sufficiently regular even Minkowski valuation which is homogeneous and intertwines rigid motions, there exists a neighborhood of the unit ball, where b…
math.MG2021
Blaschke-Santaló inequalities for Minkowski and Asplund endomorphisms
Georg C. Hofstätter, Franz E. Schuster
It is shown that each monotone Minkowski endomorphism of convex bodies gives rise to an isoperimetric inequality which directly implies the classical Urysohn inequality. Among this…