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Title: | Classification of holomorphic Pfaff systems on Hopf manifolds |
Keywords: | Pfaff systems Holomorphic distributions and foliations Hopf manifolds Sistemas de Pfaff Geometria diferencial Distribuição e folheações holomorfas |
Issue Date: | Jan-2021 |
Publisher: | Springer Nature |
Citation: | CORRÊA, M.; FERREIRA, A. M.; VERBITSKY, M. Classification of holomorphic Pfaff systems on Hopf manifolds. European Journal of Mathematics, [S.I.], v. 7, p. 729-740, Jun. 2021. DOI: https://doi.org/10.1007/s40879-020-00445-6. |
Abstract: | We classify holomorphic Pfaff systems (possibly non-locally decomposable) on certain Hopf manifolds. As a consequence, we prove some integrability results. We also prove that any holomorphic distribution on a general (non-resonance) Hopf manifold is integrable. |
URI: | https://doi.org/10.1007/s40879-020-00445-6 http://repositorio.ufla.br/jspui/handle/1/49025 |
Appears in Collections: | DEX - Artigos publicados em periódicos |
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