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Contact-Complex Riemannian Submersions

Author

Listed:
  • Cornelia-Livia Bejan

    (Department of Mathematics, Technical University Gheorghe Asachi Iasi, 700050 Iași, Romania
    Seminar Matematic, Alexandru Ioan Cuza University, Bd. Carol I No. 11, 700506 Iasi, Romania)

  • Şemsi Eken Meriç

    (Department of Mathematics, Faculty of Science and Arts, Mersin University, Mersin 33343, Turkey)

  • Erol Kılıç

    (Department of Mathematics, Faculty of Science and Arts, İnönü University, Malatya 42280, Turkey)

Abstract

A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals mainly with a contact-complex Riemannian submersion from an η -Ricci soliton; it studies when the base manifold is Einstein on one side and when the fibres are η -Einstein submanifolds on the other side. Some results concerning the potential are also obtained here.

Suggested Citation

  • Cornelia-Livia Bejan & Şemsi Eken Meriç & Erol Kılıç, 2021. "Contact-Complex Riemannian Submersions," Mathematics, MDPI, vol. 9(23), pages 1-10, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:2996-:d:685576
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