Grigoreva T. I.
Properties of parabolic Kählerian spaces admitting an almost geodesic mapping of the type π2 with degenerate affinor structure
Ukr. Mat. Zh. - 2007. - 59, № 11. - pp. 1574–1579
We study an almost geodesic mapping of Riemann spaces with parabolic affinor structure. Some properties of parabolic Kählerian spaces admitting an almost geodesic mapping are established.
Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1329-1335
For the canonical almost-geodesic mapping π2 (e = 0), we prove an analog of the Beltrami theorem in the theory of geodesic mappings. We introduce canonical π2-flat spaces and obtain metrics for them in a special coordinate system.
$\Gamma$-Transformation of Parabolic Kählerian Spaces Related by an Almost Geodesic Mapping π2 $π_2 (e = 0)$
Ukr. Mat. Zh. - 2001. - 53, № 4. - pp. 449-454
For parabolic Kählerian spaces, we obtain a new form of the main equations and construct a Γ-transformation that enables one to convert a certain pair of related parabolic Kählerian spaces into an infinite sequence of different related parabolic Kählerian spaces.