In this paper we study the minimum radius of Minkowski ellipses (with antipodal foci on the unit sphere) necessary to contain the unit ball of a (normed or) Minkowski plane. We obtain a general upper bound depending on the modulus of convexity, and in the special case of a so-called symmetric Minkowski plane (a notion that we will recall in the paper) we prove a lower bound, and also we obtain that 3 is the exact upper bound

The size of a Minkowski ellipse that contains the unit ball

CASINI, EMANUELE GIUSEPPE;
2012-01-01

Abstract

In this paper we study the minimum radius of Minkowski ellipses (with antipodal foci on the unit sphere) necessary to contain the unit ball of a (normed or) Minkowski plane. We obtain a general upper bound depending on the modulus of convexity, and in the special case of a so-called symmetric Minkowski plane (a notion that we will recall in the paper) we prove a lower bound, and also we obtain that 3 is the exact upper bound
2012
Minkowski plane, Minkowski ellipse, Symmetric space
Baronti, M.; Casini, EMANUELE GIUSEPPE; Franchetti, C.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/1745765
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