On dual-projectively flat affine connections

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1995 English Publisher:Springer Science and Business Media LLCJournal:Journal of Geometry, volume 53, pages 89-99 (issn: 0047-2468, eissn: 1420-8997,

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Authors: Ivanov, Stefan;

doi: 10.1007/bf01224043

On dual-projectively flat affine connections

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Abstract

The author introduces notions of dual-geodesic curves, dual-projective equivalence and dual-projective flatness for affine connections compatible or semi-compatible with a pseudo-Riemannian metric tensor field. He studies basic properties of these notions and gives some applications to the theory of affine hypersurfaces.

Related Organizations

Sofia University
Bulgaria

Keywords

Affine differential geometry, Linear and affine connections, conjugate connections, affine compatible with a pseudo-Riemannian metric

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