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On pseudoconformal models of fibrations determined by the algebra of antiquaternions and projectivization of them. (English) Zbl 1299.53042

Summary: In the present article we study the principal bundles determined by the algebra of antiquaternions in the projective model. The projectivizations of the pseudoconformal models of fibrations determined by the subalgebra of complex numbers is considered as example.

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
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