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On a property of the semi-Euclidean plane of symmetry of a point lattice in Minkowski space. (Romanian) Zbl 0845.52006

Andrica, D. (ed.) et al., Proceedings of the 23rd conference on geometry and topology, Cluj-Napoca, Romania, September 27-29, 1993. Cluj-Napoca: “Babeş-Bolyai” Univ., Fac. of Math. and Comput. Science, 20-26 (1994).
Let \({\mathfrak R}_n\) be an \(n\)-dimensional point lattice in a Minkowski space and \({\mathfrak R}\) some of its \(k\)-dimensional semi-Euclidean planes of symmetry, passing through a certain point 0 of \({\mathfrak R}_n\). Then \({\mathfrak R}\) necessarily includes a \(k\)-dimensional point sublattice of \({\mathfrak R}_n\).
For the entire collection see [Zbl 0829.00026].
Reviewer: M.Turinici (Iaşi)

MSC:

52C07 Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry)