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Closure of Leaves in Transversely Affine Foliations

Published online by Cambridge University Press:  20 November 2018

Robert A. Wolak
Robert A. Wolak*
Affiliation:
Departamento de Xeometria e Topoloxia, Facultade de Matematicas, Universidade de Santiago de Compostela, 15705 Santiago de Compostela, Spain
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Abstract

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We present first examples of complete transversely affine foliations on compact manifolds with leaves whose closures are not submanifolds. Moreover, we prove that under some additional assumptions the closures of leaves form a singular foliation.

Keywords

57R30
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 4 , 01 December 1991 , pp. 553 - 558
Copyright
Copyright © Canadian Mathematical Society 1991

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