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math.MG2023
The Uniqueness of the Gauss Image Measure
Vadim Semenov
We show that if the Gauss Image Measure of submeasure via convex body agrees with the Gauss Image Measure of via convex body , then the radial Gauss Image maps of th…
math.MG2022★ 1 cited
The Gauss Image Problem with Weak Aleksandrov Condition
Vadim Semenov
We introduce a relaxation of the Aleksandrov condition for the Gauss Image Problem. This weaker condition turns out to be a necessary condition for two measures to be related by a…