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Almost Paracontact Almost Paracomplex Riemannian Manifolds with a Pair of Associated Schouten–van Kampen Connections

Author

Listed:
  • Hristo Manev

    (Department of Medical Informatics, Biostatistics and E-Learning, Faculty of Public Health, Medical University of Plovdiv, 15A Vasil Aprilov Blvd, 4002 Plovdiv, Bulgaria
    These authors contributed equally to this work.)

  • Mancho Manev

    (Department of Medical Informatics, Biostatistics and E-Learning, Faculty of Public Health, Medical University of Plovdiv, 15A Vasil Aprilov Blvd, 4002 Plovdiv, Bulgaria
    Department of Algebra and Geometry, Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen St, 4000 Plovdiv, Bulgaria
    These authors contributed equally to this work.)

Abstract

Two correlated Schouten–van Kampen affine connections on an almost paracontact almost paracomplex Riemannian manifold are introduced and investigated. The considered manifolds are characterized by virtue of the presented non-symmetric connections. Curvature properties of the studied connections are obtained. A family of examples on a Lie group are given in confirmation of the obtained results.

Suggested Citation

  • Hristo Manev & Mancho Manev, 2021. "Almost Paracontact Almost Paracomplex Riemannian Manifolds with a Pair of Associated Schouten–van Kampen Connections," Mathematics, MDPI, vol. 9(7), pages 1-11, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:7:p:736-:d:525973
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    Cited by:

    1. Hichem El hendi, 2023. "Biharmonic Maps on f -Kenmotsu Manifolds with the Schouten–van Kampen Connection," Mathematics, MDPI, vol. 11(8), pages 1-15, April.

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