Geodesic
The Projectivization of Conformal Models of Fibrations Determined by the Algebra of Quaternions
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 50 (2011) no. 1, pp. 91-98

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Our aim 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.
Classification : 53B20, 53B30, 53C21
Keywords: conformal mapping; geodesic mapping; conformal-geodesic mapping; initial conditions; (pseudo-) Riemannian space 
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Kuzmina, Irina A.; Mikeš, Josef; Vanžurová, Alena. The Projectivization of Conformal Models of Fibrations Determined by the Algebra of Quaternions. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 50 (2011) no. 1, pp. 91-98. http://geodesic.mathdoc.fr/item/AUPO_2011__50_1_a7/