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Almost-geodesic mappings of affinely-connected spaces and e-structures


A description is given of torsion-free affinely-connected spaces admitting of type I linear almost-geodesic mappings satisfying a reciprocity condition, and certain geometric objects are constructed which are invariant relative to canonical mappings of this type.

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Translated from Matematicheskie Zametki, Vol. 7, No. 4, pp. 449–459, April, 1970.

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Sinyukov, N.S. Almost-geodesic mappings of affinely-connected spaces and e-structures. Mathematical Notes of the Academy of Sciences of the USSR 7, 272–278 (1970).

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  • Canonical Mapping
  • Geometric Object
  • Reciprocity Condition