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On almost geodesic mappings of the type $$\pi_1$$ of Riemannian spaces preserving a system $$n$$-orthogonal hypersurfaces. (English) Zbl 0965.53018
Slovák, Jan (ed.) et al., Proceedings of the 18th winter school “Geometry and physics”, Srní, Czech Republic, January 10-17, 1998. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 59, 103-108 (1999).
The authors study almost geodesic mappings of the type $$\pi_1:V_n\to V_n$$, which preserve systems of $$n$$-orthogonal hypersurfaces, and they find Riemannian metrics for which these mappings exist.
For the entire collection see [Zbl 0913.00039].
Reviewer: J.Mikeš (Olomouc)

##### MSC:
 53B20 Local Riemannian geometry 53C20 Global Riemannian geometry, including pinching 53C22 Geodesics in global differential geometry