On the existence of holomorphic foliations on Hopf manifolds

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DOI:

https://doi.org/10.15381/pesquimat.v27.i2.29104

Keywords:

Hopf manifold, foliations, biholomorphic transformations

Abstract

In this paper, we investigate the problem of the existence of holomorphic foliations on 3-dimensional Hopf manifolds, with a particular focus on exceptional type manifolds. Hopf manifolds, being compact, non-Kähler complex manifolds, provide a fertile ground for the analysis of non-trivial phenomena in the study of holomorphic foliations. In particular, these manifolds exhibit geometric structures that allow for the emergence of complex dynamical behaviors, making them a case of special interest.

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Published

2024-12-30

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Artículos originales

How to Cite

On the existence of holomorphic foliations on Hopf manifolds. (2024). Pesquimat, 27(2), 77-90. https://doi.org/10.15381/pesquimat.v27.i2.29104