A Wide Class of Contact-Complex Riemannian Submersions

Authors

  • Maria Falcitelli
  • Cem Sayar

DOI:

https://doi.org/10.1285/i15900932v44n2p77

Keywords:

almost contact metric manifold, almost Hermitian manifold, Lee form, contact-complex Riemannian manifold

Abstract

Locally conformal almost quasi-Sasakian manifolds set up a wide class of almost contact metric manifolds containing several interesting subclasses. Contact-complex Riemannian submersions whose total space belongs to each of the considered classes are studied. In particular, the Chinea-Gonzalez class of the fibres and the Gray-Hervella class of the base space are related. The main properties of the O'Neill invariants are stated. This allows discussing the integrability of the horizontal distribution and the minimality of the fibres.

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Published

11-02-2025

Issue

Volume 44, issue 2 (2024)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode