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math.MG2020★ 5 cited
Extreme problems for convex curves with given relative Chebyshev radius
Vitor Balestro, Horst Martini, Yurii Nikonorov +1
The paper is devoted to some extremal problems for convex curves and polygons in the Euclidean plane referring to the relative Chebyshev radius. In particular, we determine the rel…
math.DG2020
Differential geometry of spatial curves for gauges
Vitor Balestro, Horst Martini, Makoto Sakaki
We derive Frenet-type results and invariants of spatial curves immersed in -dimensional generalized Minkowski spaces, i.e., in linear spaces which satisfy all axioms of finite d…