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The Logarithmic Minkowski conjecture and the $L_p$-Minkowski Problem
Published 1 Oct 2022 in math.AP and math.MG | (2210.00194v3)
Abstract: The current state of art concerning the $L_p$ Minkowski problem as a Monge-Ampere equation on the sphere and Lutwak's Logarithmic Minkowski conjecture about the uniqueness of even solution in the $p=0$ case are surveyed and connections to many related problems are discussed.
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