IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i1p154-d717922.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/1/154/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/1/154/
    Download Restriction: no
    ---><---

    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nenad O. Vesić & Dušan J. Simjanović & Branislav M. Randjelović, 2024. "Invariants for Second Type Almost Geodesic Mappings of Symmetric Affine Connection Space," Mathematics, MDPI, vol. 12(15), pages 1-14, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:1:p:154-:d:717922. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.