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Kuzmina, Irina A.; Mikeš, Josef; Vanžurová, Alena

The projectivization of conformal models of fibrations determined by the algebra of quaternions. (English) Zbl 1252.53023

Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 50, No. 1, 91-98 (2011).
The aim of the present paper is to study the principal bundles determined by the algebra of quaternions in the projective model. The projectivization of the conformal model of the Hopf fibration is considered as example.
Reviewer: R. Iordanescu (Bucureşti)

Cited in 1 Document

MSC:

53B20 Local Riemannian geometry
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions

Keywords:

conformal mapping; geodesic mapping; conformal-geodesic mapping; initial conditions; (pseudo-) Riemannian space
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\textit{I. A. Kuzmina} et al., Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 50, No. 1, 91--98 (2011; Zbl 1252.53023)
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