Isoperimetric inequalities for sectors in the Minkowski 2-spacetime (Q1281730)
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scientific article; zbMATH DE number 1268129
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Isoperimetric inequalities for sectors in the Minkowski 2-spacetime |
scientific article; zbMATH DE number 1268129 |
Statements
Isoperimetric inequalities for sectors in the Minkowski 2-spacetime (English)
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10 August 1999
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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 \(O\).
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isoperimetric inequality
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Minkowski 2-spacetime
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curves
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