Geodesic
Conformal models of bundles determined of antiquaternions' algebra. III
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 107-120 
I. A. Kuz'mina. Conformal models of bundles determined of antiquaternions' algebra. III. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Труды геометрического семинара, Tome 147 (2005) no. 1, pp. 107-120. http://geodesic.mathdoc.fr/item/UZKU_2005_147_1_a9/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In [1] N. E. Belova proved that any two-dimensional subspace of antiquaternions' algebra including the unit was subalgebra isomorphic with two-algebra of complex, throw or dual numbers. In this paper we consider the third accident. We make the connection in the bundles of a real and virtual radius spheres and we find the curvature of this connection. We consider else the conformal models of this bundles.

[1] Belova N. E., Rassloeniya algebr razmernosti 4, Dep. v VINITI 11.10.99, No 3037-V99, Kazan. un-t, Kazan, 1999, 44 pp.

[2] Dubrovin B. A., Novikov S. P., Fomenko A. T., Sovremennaya geometriya. Metody i prilozheniya, Nauka, M., 1979, 760 pp. | MR

[3] Kuzmina I. A., Shapukov B. N., “Konformnaya i ellipticheskaya modeli rassloeniya Khopfa”, Tr. geom. sem., 24, Kazan. un-t, Kazan, 2003, 81–98

[4] Kuzmina I. A., Konformnye modeli rassloenii, opredelyaemykh algebroi antikvaternionov, Dep. v VINITI 20.01.2004, No 161-V2004, Kazan. un-t, Kazan, 2004, 20 pp.

[5] Kuzmina I. A., Konformnye modeli rassloenii, opredelyaemykh algebroi antikvaternionov II, Dep. v VINITI 22.06.2004, No 1052-V2004, Kazan. un-t, Kazan, 2004, 23 pp.

[6] Rozenfeld B. A., Mnogomernye prostranstva, Nauka, M., 1966, 647 pp. | MR