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A generalization of the Minkowski distance and new definitions of the central conics. (English) Zbl 1450.51001

By introducing some parameters in the \(l_p\) (Minkowski) norm, a new class of norms is obtained and with it a generalization of the Manhattan metric. Circles defined by these new metrics are found to be ellipses.

MSC:

51B20 Minkowski geometries in nonlinear incidence geometry
51K05 General theory of distance geometry
51K99 Distance geometry
51N20 Euclidean analytic geometry
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References:

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