2 papers
math.MG2024
Shadow systems, decomposability and isotropic constants
Christian Kipp
We study necessary conditions for local maximizers of the isotropic constant that are related to notions of decomposability. Our main result asserts that the polar body of a local…
math.MG2024
Isotropic constants and regular polytopes
Christian Kipp
We discuss first-order optimality conditions for the isotropic constant and combine them with RS-movements to obtain structural information about polytopal maximizers. Strengthenin…