Dekrét, Anton On almost complex structures on fibre bundles. (English) Zbl 0856.53026 Acta Univ. M. Belii, Ser. Math. 3, 3-8 (1995). Let \(\varphi\) be an almost contact structure on a manifold \(M\). J. Janyška [Arch. Math., Brno 26, No. 4, 229-239 (1990; Zbl 0738.53014)] proved that there is no connection that is canonically induced by an almost complex structure \(\varphi\) on \(M\). In this paper, the author considers a fibre bundle \(\pi:Y\to M\), where the dimension of fibres equals \(\dim M\), and studies natural operators transforming tensor fields \(\varphi\) of type (1,1) on \(Y\) into connections on \(Y\). In particular, such connections are constructed when \(\varphi\) is an almost complex structure. Reviewer: A.Bucki (Oklahoma City) MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 58A20 Jets in global analysis 53C05 Connections (general theory) Keywords:induced connection; almost complex structure; fibre bundle; natural operators Citations:Zbl 0738.53014 PDF BibTeX XML Cite \textit{A. Dekrét}, Acta Univ. M. Belii, Ser. Math. 3, 3--8 (1995; Zbl 0856.53026)