Characterization and a Construction of Equiframed Curves

نویسندگان

  • Horst Martini
  • Konrad J. Swanepoel
چکیده

In this contribution, which is based on the paper [4], we give a constructive description of centrally symmetric equiframed curves, i.e., centrally symmetric closed convex curves that are touched at each of their points by some circumscribed parallelogram of smallest area. Equiframed curves and their higher dimensional analogues were introduced by Pe lczynski and Szarek [7]. This class of curves properly contains the Radon curves introduced by Radon [8]. For a survey on them see [5, 6].

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تاریخ انتشار 2008