Isoperimetric inequalities for sectors in the Minkowski 2-spacetime
The main result of this paepr is an isoperimetric inequality \(L^2 \leq 2 \phi_0 A\) for timelike sectors in Minkowski 2-spacetime bounded by an achronal spacelike curve \(\Gamma\) and two timelike rays from a point \(O\) with hyperbolic angle \(\phi_0\) at \(O\). Equality holds iff \(\Gamma\) is a Lorentzian circular arc centered at \(O\).
scientific article; zbMATH DE number 1268129