Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π<sub class="a-plus-plus">2</sub> (<em class="a-plus-plus">e</em> = 0)

Abstract

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.