Title
Classification of holomorphic foliations on Hopf manifolds
Date Issued
01 June 2016
Access level
open access
Resource Type
journal article
Author(s)
Universidade Federal de Minas Gerais
Publisher(s)
Springer New York LLC
Abstract
We classify nonsingular holomorphic foliations of dimension and codimension one on certain Hopf manifolds. We prove that any nonsingular codimension one distribution on an intermediary or generic Hopf manifold is integrable and admits a holomorphic first integral. Also, we prove some results about singular holomorphic distributions on Hopf manifolds.
Start page
579
End page
593
Volume
365
Issue
February 1
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-84938517707
Source
Mathematische Annalen
ISSN of the container
00255831
Sponsor(s)
M. Corrêa is partially supported by CNPq grant number 300352/2012-3 and FAPEMIG grant number PPM-00169-13. A. Fernández-Pérez is partially supported by CAPES/Brazil.
Sources of information:
Directorio de Producción Científica
Scopus