Geometric constructions on cycles in \(\mathbb{R}^n\). (English) Zbl 1343.51014

Zlobec, Borut Jurčič; Kosta, Neža Mramor

Rocky Mt. J. Math. 45, No. 5, 1709-1751 (2015).

In this paper, the authors study geometric objects in \(\mathbb R^{n}\) which correspond to the intersection of a quadric surface \(\Omega\) with projective subspaces of \(P^{n+2}\).

Reviewer: Cătălin Barbu (Bacau)

MSC:

51M15	Geometric constructions in real or complex geometry
15A63	Quadratic and bilinear forms, inner products
51M04	Elementary problems in Euclidean geometries

Keywords:

Lie sphere geometry; Lie form; cycles; projective subspace; determinant; projection

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