On the Geometry of Simplices in Minkowski Spaces
نویسنده
چکیده
Let T be a d-dimensional simplex in a d-dimensional real normed space (= Minkowski space). We introduce a special Minkowskian area-measure and Minkowskian trilinear coordinates with respect to T, allowing us to study Minkowskian balls which are tangent to all hyperplanes determined by the facets of T. Finally we apply the derived statements to characterize simplices having special Minkowskian properties, namely simplices with equal Minkowskian heights and simplices with medians of the same Minkowskian length. MSC (2000): 52A21, 52B12
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