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Geodesic Mappings of Semi-Riemannian Manifolds with a Degenerate Metric

Author

Listed:
  • Igor G. Shandra

    (Department of Mathematics, Financial University under the Goverment the Russian Federation, 125468 Moscow, Russia)

  • Josef Mikeš

    (Department of Algebra and Geometry, Faculty of Science, Palacky University, 771 46 Olomouc, Czech Republic)

Abstract

This article introduces the concept of geodesic mappings of manifolds with idempotent pseudo-connections. The basic equations of canonical geodesic mappings of manifolds with completely idempotent pseudo-connectivity and semi-Riemannian manifolds with a degenerate metric are obtained. It is proved that semi-Riemannian manifolds admitting concircular fields admit completely canonical geodesic mappings and form a closed class with respect to these mappings.

Suggested Citation

  • Igor G. Shandra & Josef Mikeš, 2022. "Geodesic Mappings of Semi-Riemannian Manifolds with a Degenerate Metric," Mathematics, MDPI, vol. 10(1), pages 1-11, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:1:p:154-:d:717922
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    References listed on IDEAS

    as
    1. Volodymyr Berezovski & Yevhen Cherevko & Irena Hinterleitner & Patrik Peška, 2020. "Geodesic Mappings of Spaces with Affine Connections onto Generalized Symmetric and Ricci-Symmetric Spaces," Mathematics, MDPI, vol. 8(9), pages 1-13, September.
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