Geodesic
On the complete upper angle about a point on the Minkowski plane
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 8, Tome 299 (2003), pp. 42-53
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The dependence of the complete upper angle in the sense of A. D. Aleksandrov about a point on the Minkowski plane on the form of the “unit circle” (the centrally symmetric convex curve $\Phi$ determining the Minkowski metric $\rho_{\Phi}$) is studied. The complete upper angle is computed in three cases: if $\Phi$ is a square, a “cut circle,” or a “rounded rhombus”. 
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Yu. G. Dutkevich. On the complete upper angle about a point on the Minkowski plane. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 8, Tome 299 (2003), pp. 42-53. http://geodesic.mathdoc.fr/item/ZNSL_2003_299_a3/

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