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Para-Ricci-Like Solitons on Riemannian Manifolds with Almost Paracontact Structure and Almost Paracomplex Structure

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

We introduce and study a new type of soliton with a potential Reeb vector field on Riemannian manifolds with an almost paracontact structure corresponding to an almost paracomplex structure. The special cases of para-Einstein-like, para-Sasaki-like and having a torse-forming Reeb vector field were considered. It was proved a necessary and sufficient condition for the manifold to admit a para-Ricci-like soliton, which is the structure that is para-Einstein-like. Explicit examples are provided in support of the proven statements.

Suggested Citation

  • Hristo Manev & Mancho Manev, 2021. "Para-Ricci-Like Solitons on Riemannian Manifolds with Almost Paracontact Structure and Almost Paracomplex Structure," Mathematics, MDPI, vol. 9(14), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1704-:d:597652
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    References listed on IDEAS

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    1. C. S. Bagewadi & Gurupadavva Ingalahalli, 2013. "Certain Results on Ricci Solitons in Trans-Sasakian Manifolds," Journal of Mathematics, Hindawi, vol. 2013, pages 1-10, February.
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