Open AccessFibrations and contact structures
Author(s) -
Hamidou Dathe,
Philippe Rukimbira
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.555
Subject(s) - mathematics , invertible matrix , torus , pure mathematics , manifold (fluid mechanics) , closed manifold , bundle , combinatorics , geometry , invariant manifold , mechanical engineering , engineering , materials science , composite material
We prove that a closed 3-dimensional manifold is a torus bundle over the circle if and only if it carries a closed nonsingular 1-form which is linearly deformable into contact forms
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