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From Dual Connections to Almost Contact Structures

Author

Listed:
  • Emmanuel Gnandi

    (Ecole Nationale de l’Aviation Civile, Université de Toulouse, 31055 Toulouse, France)

  • Stéphane Puechmorel

    (Ecole Nationale de l’Aviation Civile, Université de Toulouse, 31055 Toulouse, France)

Abstract

A dualistic structure on a smooth Riemaniann manifold M is a triple ( M , g , ∇ ) with g a Riemaniann metric and ∇ an affine connection generally assumed to be torsionless. From g and ∇, dual connection ∇ * can be defined. In this work, we give conditions on the basis of this notion for a manifold to admit an almost contact structure and some related structures: almost contact metric, contact, contact metric, cosymplectic, and co-Kähler in the three-dimensional case.

Suggested Citation

  • Emmanuel Gnandi & Stéphane Puechmorel, 2022. "From Dual Connections to Almost Contact Structures," Mathematics, MDPI, vol. 10(20), pages 1-20, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3822-:d:943842
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