Wolf-Peter Funk
نویسندگان
چکیده
منابع مشابه
And the Funk Metric
We discuss general notions of metrics and of Finsler structures which we call weak metrics and weak Finsler structures. Any convex domain carries a canonical weak Finsler structure, which we call its tautological weak Finsler structure. We compute distances in the tautological weak Finsler structure of a domain and we show that these are given by the so-called Funk weak metric. We conclude the ...
متن کاملFunk Metrics and R-Flat Sprays ∗
The well-known Funk metric F (x, y) is projectively flat with constant flag curvature K = −1/4 and the Hilbert metric Fh(x, y) := (F (x, y) + F (x,−y))/2 is projectively flat with constant curvature K = −1. These metrics are the special solutions to Hilbert’s Fourth Problem. In this paper, we construct a non-trivial R-flat spray using the Funk metric. It is then an inverse problem in the calcul...
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ژورنال
عنوان ژورنال: Zeitschrift Fur Agyptische Sprache Und Altertumskunde
سال: 2022
ISSN: ['0044-216X', '2196-713X']
DOI: https://doi.org/10.1515/zaes-2022-0021