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math.MG2020
Distance functions on convex bodies and symplectic toric manifolds
Hajime Fujita, Yu Kitabeppu, Ayato Mitsuishi
In this paper we discuss three distance functions on the set of convex bodies. In particular we study the convergence of Delzant polytopes, which are fundamental objects in symplec…
math.MG2018
A metric on the moduli space of bodies
Hajime Fujita, Kaho Ohashi
We construct a metric on the moduli space of bodies in Euclidean space. The moduli space is defined as the quotient space with respect to the action of integral affine transformati…