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B. Blaschitz:
"Geometric optimization in Minkowski space";
Betreuer/in(nen), Begutachter/in(nen): M. Peternell, B. Jüttler; e104, 2014; Rigorosum: 2014.

The envelope of a 1-parameter family of circles F(t): (x-m(t)) 2 = r 2(t) is given as F(t)cap F_t(t) with F_t(t): (x-m(t))dot{m} + r dot{r} = 0. We will study the set of circles in the plane in a point set model: Every circle is assigned to a point in R {2,1} such that the first two coordinates are its center and the third is its radius. Every curve l: p(t)=(p_1,p_2,p_3)(t), dot{pv}(t) neq

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